Noncommutative variations on Laplace's equation (2008)
As a first step at developing a theory of noncommutative nonlinear elliptic partial differential equations, we analyze noncommutative analogues of Laplace's equation and its variants (some of the...
D-branes, RR-fields and duality on noncommutative manifolds (2007)
Brodzki, Jacek, Mathai, Varghese, Rosenberg, Jonathan, Szabo, Richard J.
We develop some of the ingredients needed for string theory on noncommuta tive spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane...
Noncommutative correspondences, duality and D-branes in bivariant K-theory (2007)
Brodzki, Jacek, Mathai, Varghese, Rosenberg, Jonathan, Szabo, Richard J.
We describe a categorical framework for the classification of D-branes on noncommutative spaces using techniques from bivariant K-theory of C*-algebras. We present a new description of bivariant...
D-Branes, RR-Fields and Duality on Noncommutative Manifolds (2006)
Brodzki, Jacek, Mathai, Varghese, Rosenberg, Jonathan, Szabo, Richard J.
We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane...
Mathai, Varghese, Rosenberg, Jonathan
We use noncommutative topology to study T-duality for principal torus bundles with H-flux. We characterize precisely when there is a "classical'' T-dual, i.e., a dual bundle with dual H-flux, and...
Gene Expression Analysis of Circulating Hormone Refractory Prostate Cancer (2006)
This annual report for the Physician Research Training Award focuses progress and challenges in the analysis of circulating hormone refractory prostate cancer micrometastases. Metastatic tissue for...
An analogue of the Novikov Conjecture in complex algebraic geometry (2005)
We introduce an analogue of the Novikov Conjecture on higher signatures in the context of the algebraic geometry of (nonsingular) complex projective varieties. This conjecture asserts that certain...
Mathai, Varghese, Rosenberg, Jonathan
We use noncommutative topology to study T-duality for principal torus bundles with H-flux. We characterize precisely when there is a "classical" T-dual, i.e., a dual bundle with dual H-flux, and when...
On mysteriously missing T-duals, H-flux and the T-duality group (2004)
Mathai, Varghese, Rosenberg, Jonathan
A general formula for the topology and H-flux of the T-duals of type II string theories with H-flux on toroidal compactifications is presented here. It is known that toroidal compactifications with...
K-Theory and Geometric Topology (2004)
this article, "geometric topology" will mean the study of the topology of manifolds and manifold-like spaces, of simplicial and CWcomplexes, and of automorphisms of such objects. As such, it is a...
T-duality for torus bundles via noncommutative topology (2004)
Mathai, Varghese, Rosenberg, Jonathan
It is known that the T-dual of a circle bundle with H-flux (given by a Neveu-Schwarz 3-form) is the T-dual circle bundle with dual H-flux. However, it is also known that torus bundles with H-flux do...
A Comparison of SIP and H.323 for Internet (2003)
Henning Schulzrinne, Jonathan Rosenberg
Two standards have recently emerged for signaling and control for Internet Telephony. One is ITU Recommendation H.323, and the other is the IETF Session Initiation Protocol (SIP). These two protocols...
The Yamabe Invariant for Non-Simply Connected Manifolds (2002)
Botvinnik, Boris, Rosenberg, Jonathan
The Yamabe invariant is an invariant of a closed smooth manifold defined using conformal geometry and the scalar curvature. Recently, Petean showed that the Yamabe invariant is nonnegative for all...
The equivariant Lefschetz fixed point theorem for proper cocompact G-manifolds (2002)
Lueck, Wolfgang, Rosenberg, Jonathan
Suppose one is given a discrete group G, a cocompact proper G-manifold M, and a G-self-map f of M. Then we introduce the equivariant Lefschetz class of f, which is globally defined in terms of...
Lueck, Wolfgang, Rosenberg, Jonathan
Let G be a countable discrete group and let M be a smooth proper cocompact G-manifold without boundary. The Euler operator defines via Kasparov theory an element, called the equivariant Euler class,...
Groupoid C*-algebras and index theory on manifolds with singularities (2002)
The simplest case of a manifold with singularities is a manifold M with boundary, together with an identification #M = #MP , where P is a fixed manifold. The associated singular space is obtained by...
Wolfgang L Uck, Jonathan Rosenberg
Let G be a countable discrete group and let M be a smooth proper cocompact G-manifold without boundary. The Euler operator de nes via Kasparov theory an element, called the equivariant Euler class,...
The equivariant Lefschetz fixed point theorem for proper cocompact G-manifolds (2002)
Wolfgang Luck, Jonathan Rosenberg
Suppose one is given a discrete group G, a cocompact proper G- manifold M , and a G-self-map f : M . Then we introduce the equivariant Lefschetz class of f , which is globally defined in terms of...
Artificial Intelligence Programming Languages for Computer Aided Manufacturing. (2002)
Rieger,Chuck, Samet,Hanan, Rosenberg,Jonathan
Eight Artificial Intelligence programming languages (SAIL, LISP, MICROPLANNER, CONNIVER, MLISP, POP-2, AL and QLISP) are presented and surveyed, with examples of their use in an automated shop...
Groupoid C*-algebras and index theory on manifolds with singularities (2001)
The simplest case of a manifold with singularities is a manifold M with boundary, together with an identication @M = MP , where P is a xed manifold. The associated singular space is obtained by...
Groupoid C*-algebras and index theory on manifolds with singularities (2001)
The simplest case of a manifold with singularities is a manifold M with boundary, together with an identification of the boundary with a product M1 x P, where P is a fixed manifold. The associated...
The Yamabe invariant for non-simply connected manifolds (2001)
Botvinnik, Boris, Rosenberg, Jonathan
The Yamabe invariant is an invariant of a closed smooth manifold defined using conformal geometry and the scalar curvature. Recently, Petean showed that the Yamabe invariant is non-negative for all...
The Yamabe invariant for non-simply connected manifolds (2001)
Boris Botvinnik, Jonathan Rosenberg
The Yamabe invariant is an invariant of a closed smooth manifold defined using conformal geometry and the scalar curvature. Recently, Petean showed that the Yamabe invariant is non-negative for all...
Timer Reconsideration for Enhanced RTP Scalability (2001)
Jonathan Rosenberg, Henning Schulzrinne
RTP, the Real Time Transport Protocol, has gained widespread acceptance as the transport protocol for voice and video on the Internet. Its companion control protocol, the Real Time Control Protocol...
Programming Internet Telephony Services (2001)
Jonathan Rosenberg, Jonathan Lennox, Henning Schulzrinne
Internet telephony enables a wealth of new service possibilities. Traditional telephony services, such as call forwarding, transfer, and 800 number services, can be enhanced by interaction with...
A Comparison of SIP and H.323 for Internet Telephony (2001)
Henning Schulzrinne, Jonathan Rosenberg
Two standards have recently emerged for signaling and control for Internet Telephony. One is ITU Recommendation H.323, and the other is the IETF Session Initiation Protocol (SIP). These two protocols...
Internet Telephony Gateway Location (2001)
Jonathan Rosenberg, Henning Schulzrinne
Although the Internet was designed to handle non-real time data traffic, it is being used increasingly to carry voice and video. One important class of contributors to this growth are Internet...
Internet Telephony: Architecture and Protocols an IETF Perspective (2001)
Henning Schulzrinne, Jonathan Rosenberg
Internet telephony offers the opportunity to design a global multimedia communications system that may eventually replace the existing telephony infrastructure. We describe the upper-layer protocol...
This paper basically proves that any continuous finite-dimensional representation of a Lie group is automatically di#erentiable, in fact analytic.
Programming Internet Telephony Services (2000)
Jonathan Rosenberg, Jonathan Lennox, Henning Schulzrinne
Internet telephony enables a wealth of new service possibilities. Traditional telephony services, such as call forwarding, transfer, and 800 number services, can be enhanced byinteraction with email,...
Race and U.S. Foreign Policy During the Cold War (review) (2000)
Journal of Cold War Studies - Volume 2, Number 2, Spring 2000
Integrating Packet FEC into Adaptive Voice Playout Buffer Algorithms on the Internet (2000)
Jonathan Rosenberg, Lili Qiu, Henning Schulzrinne
Transport of real-time voice traffic on the Internet is difficult due to packet loss and jitter. Packet loss is handled primarily through a variety of different forward error correction (FEC)...
Henning Schulzrinne, Jonathan Rosenberg
This document has not yet been formally ratified or released by the ITU; I address it, in less exhaustive detail, in section 1.7.
C. T. C. Wall's contributions to the topology of manifolds (2000)
Ranicki, Andrew, Cappell, Sylvain, Rosenberg, Jonathan
C. T. C. Wall1 spent the first half of his career, roughly from 1959 to 1977, working in topology and related areas of algebra. In this period, he produced more than 90 research papers and two books....
C. T. C. Wall's contributions to the topology of manifolds (2000)
Ranicki, Andrew, Cappell, Sylvain, Rosenberg, Jonathan
C. T. C. Wall1 spent the first half of his career, roughly from 1959 to 1977, working in topology and related areas of algebra. In this period, he produced more than 90 research papers and two books....
Bell Labs/Columbia/UMass RTP Library (1999)
Dan Rubenstein, Jonathan Lennox, Jonathan Rosenberg, Henning Schulzrinne
This documentation describes the internal functions that are components of the Bell Labs/Columbia/UMass RTP Library. 1 The purpose of this document is to provide the experienced networking programmer...
Bell Labs/Columbia/UMass RTP Library Internal Function Descriptions (1999)
Dan Rubenstein, Jonathan Lennox, Jonathan Rosenberg, Henning Schulzrinne
This documentation describes the internal functions that are components of the Bell Labs/Columbia/UMass RTP Library. 1 The purpose of this document is to provide the experienced networking programmer...
Internet Telephony: Architecture and Protocols (1999)
Jonathan Rosenberg, Henning Schulzrinne
this report in rapid succession, to ensure at least one is received. These are received by the querying router, and it notes that there is a member for this group on the network (if there wasn't...
Signaling for Internet Telephony (1999)
Henning Schulzrinne, Jonathan Rosenberg
Internet telephony must offer the standard telephony services. However, the transition to Internetbased telephony services also provides an opportunity to create new services more rapidly and with...
Programming Internet Telephony Services (1999)
Jonathan Rosenberg, Jonathan Lennox, Henning Schulzrinne
Internet telephony enables a wealth of new service possibilities. Traditional telephony services, such as call forwarding, transfer, and 800 number services can be enhanced by interaction with email,...
Programming Internet Telephony Services (1999)
Jonathan Rosenberg, Jonathan Lennox, Henning Schulzrinne
Internet telephony enables a wealth of new service possibilities. Traditional telephony services, such as call forwarding, transfer, and 800 number services, can be enhanced by interaction with...
G-Signature Theorem Revisited (1998)
. In a strengthening of the G-Signature Theorem of Atiyah and Singer, we compute, at least in principle (modulo certain torsion of exponent dividing a power of the order of G), the class in...
The G-Signature Theorem Revisited (1998)
In a strengthening of the G-Signature Theorem of Atiyah and Singer, we compute, at least in principle (modulo certain torsion of exponent dividing a power of the order of G), the class in equivariant...
Analytic Novikov for topologists (1998)
. We explain for topologists the "dictionary" for understanding the analytic proofs of the Novikov conjecture, and how they relate to the surgery-theoretic proofs. In particular, we try to explain...
Analytic Novikov for topologists (1998)
. We explain for topologists the "dictionary" for understanding the analytic proofs of the Novikov conjecture, and how they relate to the surgery-theoretic proofs. In particular, we try to explain...
. We the study the algebraic K-theory of C -algebras, forgetting the topology. The main results include a proof that commutative C -algebras are K-regular in all degrees (that is, all their N r K i...
The K-Homology Class Of The Euler Characteristic Operator Is Trivial (1998)
. On any manifold M n , the de Rham operator D = d + d (with respect to a complete Riemannian metric), with the grading of forms by parity of degree, gives rise by Kasparov theory to a class [D] 2 KO...
Rigidity of K-theory under deformation quantization (1998)
Quantization, at least in some formulations, involves replacing some algebra of observables by a (more non-commutative) deformed algebra. In view of the fundamental role played by K-theory in...
The G-Signature Theorem Revisited (1998)
. In a strengthening of the G-Signature Theorem of Atiyah and Singer, we compute, at least in principle (modulo certain torsion of exponent dividing a power of the order of G), the class in...
Signaling for Internet Telephony (1998)
Henning Schulzrinne, Jonathan Rosenberg
Internet telephony must offer the standard telephony services. However, the transition to Internet-based telephony services also provides an opportunity to create new services more rapidly and with...
Internet Telephony: Architecture and Protocols an IETF Perspective (1998)
Henning Schulzrinne, Jonathan Rosenberg
Internet telephony offers the opportunity to design a global multimedia communications system that may eventually replace the existing telephony infrastructure. We describe the upper-layer protocol...
The K-homology class of the equivariant Euler characteristic operator (1998)
Suppose M n is a smooth manifold (without boundary) with a smooth action of a finite group G. The de Rham operator D = d + d (with respect to a complete G-invariant Riemannian metric), with the...
K-homology class of the equivariant Euler characteristic operator (1998)
Suppose M n is a smooth manifold (without boundary) with a smooth action of a finite group G. The de Rham operator D = d + d (with respect to a complete G-invariant Riemannian metric), with the...
Internet Telephony: Architecture and Protocols an IETF Perspective (1998)
Henning Schulzrinne, Jonathan Rosenberg
Internet telephony offers the opportunity to design a global multimedia communications system that may eventually replace the existing telephony infrastructure. We describe the upper-layer protocol...
Internet Telephony: Architecture and Protocols an IETF Perspective (1998)
Henning Schulzrinne, Jonathan Rosenberg
Internet telephony offers the opportunity to design a global multimedia communications system that may eventually replace the existing telephony infrastructure. We describe the upper-layer protocol...
Internet Telephony: Architecture and Protocols an IETF Perspective (1998)
Henning Schulzrinne, Jonathan Rosenberg
Internet telephony offers the opportunity to design a global multimedia communications system that may eventually replace the existing telephony infrastructure. We describe the upper-layer protocol...
The K-homology class of the Euler characteristic operator is trivial (1998)
On any manifold M^n, the de Rham operator D=d+d^* (with respect to a complete Riemannian metric), with the grading of forms by parity of degree, gives rise by Kasparov theory to a class [D] in...
A Comparison of SIP and H.323 for Internet Telephony (1998)
Henning Schulzrinne, Jonathan Rosenberg
Two standards have recently emerged for signaling and control for Internet Telephony. One is ITU Recommendation H.323, and the other is the IETF Session Initiation Protocol (SIP). These two protocols...
Signaling for Internet Telephony (1998)
Henning Schulzrinne, Jonathan Rosenberg
Internet telephony must offer the standard telephony services. However, the transition to Internetbased telephony services also provides an opportunity to create new services more rapidly and with...
Signaling for Internet Telephony (1998)
Henning Schulzrinne, Jonathan Rosenberg
Internet telephony must offer the standard telephony services. However, the transition to Internetbased telephony services also provides an opportunity to create new services more rapidly and with...
Timer Reconsideration for Enhanced RTP Scalability (1998)
Jonathan Rosenberg, Henning Schulzrinne
RTP, the Real Time Transport Protocol, has gained widespread acceptance as the transport protocol for voice and video on the Internet. Its companion control protocol, the Real Time Control Protocol...
Internet Telephony Gateway Location (1998)
Jonathan Rosenberg, Henning Schulzrinne
Although the Internet was designed to handle non-real time data traffic, it is being used increasingly to carry voice and video. One important class of contributors to this growth are Internet...
Metrics of Positive Scalar Curvature and Connections With Surgery (1998)
this paper will be assumed to be smooth (C 1 ). For simplicity, we restrict attention to compact manifolds, although there are also plenty of interesting questions about complete metrics of positive...
Timer Reconsideration for Enhanced RTP Scalability (1997)
Jonathan Rosenberg, Henning Schulzrinne
RTP, the Real Time Transport Protocol, has gained widespread acceptance as the transport protocol for voice and video on the Internet. Its companion control protocol, the Real Time Control Protocol...
Internet Telephony Gateway Location (1997)
Jonathan Rosenberg, Henning Schulzrinne
Although the Internet was designed to handle non-real time data traffic, it is being used increasingly to carry voice and video. One important class of contributors to this growth are Internet...
Internet Telephony Gateway Discovery (1997)
With the increased in Internet telephony, there is a need to make sure that interoperability with PSTN (Public Switched Telephone Network) is possible. Many issues must be resolved for this...
Internet Telephony: A (Partial) Research Agenda (1997)
This paper describes some of the specific technical challenges that arise due to these three aspects of the Internet telephony service, and discusses some of the author's research so far in resolving...
The Algebraic K-Theory Of Operator Algebras (1997)
. We the study the algebraic K-theory of C -algebras, forgetting the topology. The main results include a proof that commutative C -algebras are K-regular in all degrees (that is, all their N r K i...
Behavior of K-Theory under Quantization (1997)
this paper will be primarily a survey of results in a number of different areas, all with a common theme. Section 2 is devoted to the links between results about K-theory of quantum C
I pages 66--69. In the displayed matrix in the middle of the page, there are i Gamma 1 rows before the row starting with b Gamma1 i . Thus there is a sign error in the formula at the very bottom of...
Introduction Quantization, at least in some formulations, involves replacing some algebra of observables by a (more non-commutative) deformed algebra. Usually one imposes some additional constraints...
We the study the algebraic K-theory of C -algebras, forgetting the topology. The main results include a proof that commutative C -algebras are K-regular in all degrees (that is, all their N r K i...
Rigidity of K-theory under deformation quantization (1996)
Quantization, at least in some formulations, involves replacing some algebra of observables by a (more non-commutative) deformed algebra. In view of the fundamental role played by K-theory in...
The Behavior Of Fourier Transforms For Nilpotent Lie Groups (1996)
Ronald L. Lipsman, Jonathan Rosenberg
. We study weak analogues of the Paley-Wiener Theorem for both the scalarvalued and the operator-valued Fourier transforms on a nilpotent Lie group G. Such theorems should assert that the appropriate...
The Behavior Of Fourier Transforms For Nilpotent Lie Groups (1996)
Ronald L. Lipsman, Jonathan Rosenberg
. We study weak analogues of the Paley-Wiener Theorem for both the scalarvalued and the operator-valued Fourier transforms on a nilpotent Lie group G. Such theorems should assert that the appropriate...
A ``stable'' version of the Gromov-Lawson conjecture (1994)
Rosenberg, Jonathan, Stolz, Stephan
We discuss a conjecture of Gromov and Lawson, later modified by Rosenberg, concerning the existence of metrics of positive scalar curvature. It says that a closed spin manifold $M$ of dimension $n\ge...
Integrating Packet FEC into Adaptive Voice Playout Buffer Algorithms on the Internet (1970)
Jonathan Rosenberg, Lili Qiu, Henning Schulzrinne
Transport of real-time voice traffic on the Internet is difficult due to packet loss and jitter. Packet loss is handled primarily through a variety of different forward error correction (FEC)...
Participating or Just Talking? Sustainable Development Councils and the Implementation of Agenda 21
Jonathan Rosenberg, Linus Spencer Thomas
Sustainable Development Councils were among the few specific recommendations for institution building to come out of Rio in 1992. At their best the councils manifest Agenda 21's call for new...