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Superstrings, Geometry, Topology, and $C^*$-algebras

Edited by: Robert S. Doran Texas Christian University, Fort Worth, TX
Greg Friedman Texas Christian University, Fort Worth, TX
Jonathan Rosenberg University of Maryland, College Park, MD
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Hardcover ISBN: 978-0-8218-4887-6
Product Code: PSPUM/81
List Price: $72.00 MAA Member Price:$64.80
AMS Member Price: $57.60 Electronic ISBN: 978-0-8218-9389-0 Product Code: PSPUM/81.E List Price:$67.00
MAA Member Price: $60.30 AMS Member Price:$53.60
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List Price: $108.00 MAA Member Price:$97.20
AMS Member Price: $86.40 Click above image for expanded view Superstrings, Geometry, Topology, and$C^*$-algebras Edited by: Robert S. Doran Texas Christian University, Fort Worth, TX Greg Friedman Texas Christian University, Fort Worth, TX Jonathan Rosenberg University of Maryland, College Park, MD Available Formats:  Hardcover ISBN: 978-0-8218-4887-6 Product Code: PSPUM/81  List Price:$72.00 MAA Member Price: $64.80 AMS Member Price:$57.60
 Electronic ISBN: 978-0-8218-9389-0 Product Code: PSPUM/81.E
 List Price: $67.00 MAA Member Price:$60.30 AMS Member Price: $53.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$108.00 MAA Member Price: $97.20 AMS Member Price:$86.40
• Book Details

Proceedings of Symposia in Pure Mathematics
Volume: 812010; 249 pp
MSC: Primary 81; 55; 46;

This volume contains the proceedings of an NSF-CBMS Conference held at Texas Christian University in Fort Worth, Texas, May 18–22, 2009. The papers, written especially for this volume by well-known mathematicians and mathematical physicists, are an outgrowth of the talks presented at the conference. Topics examined are highly interdisciplinary and include, among many other things, recent results on D-brane charges in $K$-homology and twisted $K$-homology, Yang-Mills gauge theory and connections with non-commutative geometry, Landau-Ginzburg models, $C^*$-algebraic non-commutative geometry and ties to quantum physics and topology, the rational homotopy type of the group of unitary elements in an Azumaya algebra, and functoriality properties in the theory of $C^*$-crossed products and fixed point algebras for proper actions. An introduction, written by Jonathan Rosenberg, provides an instructive overview describing common themes and how the various papers in the volume are interrelated and fit together. The rich diversity of papers appearing in the volume demonstrates the current interplay between superstring theory, geometry/topology, and non-commutative geometry. The book will be of interest to graduate students, mathematicians, mathematical physicists, and researchers working in these areas.

Graduate students and research mathematicians interested in the relations between mathematical physics and various areas of pure mathematics.

• Articles
• Jonathan Rosenberg - Introduction [ MR 2681755 ]
• Astrid an Huef, Iain Raeburn and Dana P. Williams - Functoriality of Rieffel’s generalised fixed-point algebras for proper actions [ MR 2681756 ]
• Matthew Ando, Andrew J. Blumberg and David Gepner - Twists of $K$-theory and TMF [ MR 2681757 ]
• John C. Baez and John Huerta - Division algebras and supersymmetry I [ MR 2681758 ]
• Paul Baum - $K$-homology and D-branes [ MR 2681759 ]
• Alan L. Carey and Bai-Ling Wang - Riemann-Roch and index formulae in twisted $K$-theory [ MR 2681760 ]
• Keith C. Hannabuss and Varghese Mathai - Noncommutative principal torus bundles via parametrised strict deformation quantization [ MR 2681761 ]
• Sooran Kang - A survey of noncommutative Yang-Mills theory for quantum Heisenberg manifolds [ MR 2681762 ]
• John R. Klein, Claude L. Schochet and Samuel B. Smith - From rational homotopy to $K$-theory for continuous trace algebras [ MR 2681763 ]
• Marc A. Rieffel - Distances between matrix algebras that converge to coadjoint orbits [ MR 2681764 ]
• Hisham Sati - Geometric and topological structures related to M-branes [ MR 2681765 ]
• Eric Sharpe - Landau-Ginzburg models, gerbes, and Kuznetsov’s homological projective duality [ MR 2681766 ]

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Volume: 812010; 249 pp
MSC: Primary 81; 55; 46;

This volume contains the proceedings of an NSF-CBMS Conference held at Texas Christian University in Fort Worth, Texas, May 18–22, 2009. The papers, written especially for this volume by well-known mathematicians and mathematical physicists, are an outgrowth of the talks presented at the conference. Topics examined are highly interdisciplinary and include, among many other things, recent results on D-brane charges in $K$-homology and twisted $K$-homology, Yang-Mills gauge theory and connections with non-commutative geometry, Landau-Ginzburg models, $C^*$-algebraic non-commutative geometry and ties to quantum physics and topology, the rational homotopy type of the group of unitary elements in an Azumaya algebra, and functoriality properties in the theory of $C^*$-crossed products and fixed point algebras for proper actions. An introduction, written by Jonathan Rosenberg, provides an instructive overview describing common themes and how the various papers in the volume are interrelated and fit together. The rich diversity of papers appearing in the volume demonstrates the current interplay between superstring theory, geometry/topology, and non-commutative geometry. The book will be of interest to graduate students, mathematicians, mathematical physicists, and researchers working in these areas.

Graduate students and research mathematicians interested in the relations between mathematical physics and various areas of pure mathematics.

• Articles
• Jonathan Rosenberg - Introduction [ MR 2681755 ]
• Astrid an Huef, Iain Raeburn and Dana P. Williams - Functoriality of Rieffel’s generalised fixed-point algebras for proper actions [ MR 2681756 ]
• Matthew Ando, Andrew J. Blumberg and David Gepner - Twists of $K$-theory and TMF [ MR 2681757 ]
• John C. Baez and John Huerta - Division algebras and supersymmetry I [ MR 2681758 ]
• Paul Baum - $K$-homology and D-branes [ MR 2681759 ]
• Alan L. Carey and Bai-Ling Wang - Riemann-Roch and index formulae in twisted $K$-theory [ MR 2681760 ]
• Keith C. Hannabuss and Varghese Mathai - Noncommutative principal torus bundles via parametrised strict deformation quantization [ MR 2681761 ]
• Sooran Kang - A survey of noncommutative Yang-Mills theory for quantum Heisenberg manifolds [ MR 2681762 ]
• John R. Klein, Claude L. Schochet and Samuel B. Smith - From rational homotopy to $K$-theory for continuous trace algebras [ MR 2681763 ]
• Marc A. Rieffel - Distances between matrix algebras that converge to coadjoint orbits [ MR 2681764 ]
• Hisham Sati - Geometric and topological structures related to M-branes [ MR 2681765 ]
• Eric Sharpe - Landau-Ginzburg models, gerbes, and Kuznetsov’s homological projective duality [ MR 2681766 ]
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