Noncommutative geometry and physics : proceedings of the COE International Workshop, Yokohama, Japan, 26-28 February, 1-3 March, 2004 /
Noncommutative geometry and physics : proceedings of the COE International Workshop, Yokohama, Japan, 26-28 February, 1-3 March, 2004 /
COE International Workshop
edited by Yoshiaki Maeda [and others].
- Hackensack, N.J. : World Scientific, ©2005.
- 1 online resource (ix, 378 pages) : illustrations
Includes bibliographical references.
Nonanticommutative Harmonic Superspace and N = 2 Supersymmetric U(1) Gauge Theory / Noncommutative Locally Anti-de Sitter Black Holes / Dynamics of Fuzzy Spaces / Induction of Representations in Deformation Quantization / [characters not reproducible]-Function Regularization and Index Theory in Noncommutative Geometry / Line Bundles on Fuzzy [characters not reproducible]P[superscript n] / Construction of Lagrangian Embeddings Using Hamiltonian Actions / Deformation Quantization of Complex Involutive Submanifolds / Deformation Quantization on a Hilbert Space / Symmetries and Moduli Spaces of the Self-Dual Yang-Mills Equations / Noncommutative Solitons and Integrable Systems / On the Connectedness of the Spaces of Surface Group Representations / Witten's Deformed Laplacian and Its Classical Mechanics / The Vanishing Problem for Cohomology of Superspaces / Higher Dimensional Spherical D-Branes and Matrix Model / Instantons of [sigma]-Models in Noncommutative Geometry / On Vectorial Gerbes and Poincare-Cartan Classes / A Short Note on Symplectic Floer Theory / Noncommutative Cohomological Field Theories and Topological Aspects of Matrix Models / Gauge Theory on Fuzzy S[superscript 2] and [characters not reproducible superscript 2] and Random Matrices / Relation on Spin Bundle Gerbes and Mayer's Dirac Operators / Takeo Araki, Katsushi Ito, Akihisa Ohtsuka Pierre Bieliavsky, S. Detournay, Philippe Spindel, M. Rooman M. Buric, John Madore Henrique Bursztyn, Stefan Waldmann Alexander Cardona Ursula Carow-Watamura, Satoshi Watamura River Chiang Andrea D'Agnolo, Pietro Polesello Giuseppe Dito James D.E. Grant Masashi Hamanaka Nan-Kuo Ho, Chiu-Chu Melissa Liu Atsushi Inoue Daisuke Kato Yusuke Kimura Giovanni Landi Naoya Miyazaki Kaoru Ono Akifumi Sako Harold Steinacker Atsushi Tomoda 1 -- 17 -- 35 -- 65 -- 77 -- 95 -- 117 -- 127 -- 139 -- 159 -- 175 -- 199 -- 215 -- 245 -- 253 -- 267 -- 291 -- 301 -- 321 -- 357 -- 369.
Noncommutative differential geometry is a novel approach to geometry that is paving the way for exciting new directions in the development of mathematics and physics. The contributions in this volume are based on papers presented at a workshop dedicated to enhancing international cooperation between mathematicians and physicists in various aspects of frontier research on noncommutative differential geometry. The active contributors present both the latest results and comprehensive reviews of topics in the area. The book is accessible to researchers and graduate students interested in a variety of mathematical areas related to noncommutative geometry and its interface with modern theoretical physics.
English.
9789812775061 9812775064 1281927899 9781281927897 9786611927899 6611927891
Noncommutative differential geometry--Congresses.
Mathematical physics--Congresses.
Géométrie différentielle non commutative--Congrès.
Physique mathématique--Congrès.
SCIENCE--Physics--Mathematical & Computational.
Mathematical physics
Noncommutative differential geometry
Conference papers and proceedings
QC20.7.D52 / C64 2004eb
530.15
Includes bibliographical references.
Nonanticommutative Harmonic Superspace and N = 2 Supersymmetric U(1) Gauge Theory / Noncommutative Locally Anti-de Sitter Black Holes / Dynamics of Fuzzy Spaces / Induction of Representations in Deformation Quantization / [characters not reproducible]-Function Regularization and Index Theory in Noncommutative Geometry / Line Bundles on Fuzzy [characters not reproducible]P[superscript n] / Construction of Lagrangian Embeddings Using Hamiltonian Actions / Deformation Quantization of Complex Involutive Submanifolds / Deformation Quantization on a Hilbert Space / Symmetries and Moduli Spaces of the Self-Dual Yang-Mills Equations / Noncommutative Solitons and Integrable Systems / On the Connectedness of the Spaces of Surface Group Representations / Witten's Deformed Laplacian and Its Classical Mechanics / The Vanishing Problem for Cohomology of Superspaces / Higher Dimensional Spherical D-Branes and Matrix Model / Instantons of [sigma]-Models in Noncommutative Geometry / On Vectorial Gerbes and Poincare-Cartan Classes / A Short Note on Symplectic Floer Theory / Noncommutative Cohomological Field Theories and Topological Aspects of Matrix Models / Gauge Theory on Fuzzy S[superscript 2] and [characters not reproducible superscript 2] and Random Matrices / Relation on Spin Bundle Gerbes and Mayer's Dirac Operators / Takeo Araki, Katsushi Ito, Akihisa Ohtsuka Pierre Bieliavsky, S. Detournay, Philippe Spindel, M. Rooman M. Buric, John Madore Henrique Bursztyn, Stefan Waldmann Alexander Cardona Ursula Carow-Watamura, Satoshi Watamura River Chiang Andrea D'Agnolo, Pietro Polesello Giuseppe Dito James D.E. Grant Masashi Hamanaka Nan-Kuo Ho, Chiu-Chu Melissa Liu Atsushi Inoue Daisuke Kato Yusuke Kimura Giovanni Landi Naoya Miyazaki Kaoru Ono Akifumi Sako Harold Steinacker Atsushi Tomoda 1 -- 17 -- 35 -- 65 -- 77 -- 95 -- 117 -- 127 -- 139 -- 159 -- 175 -- 199 -- 215 -- 245 -- 253 -- 267 -- 291 -- 301 -- 321 -- 357 -- 369.
Noncommutative differential geometry is a novel approach to geometry that is paving the way for exciting new directions in the development of mathematics and physics. The contributions in this volume are based on papers presented at a workshop dedicated to enhancing international cooperation between mathematicians and physicists in various aspects of frontier research on noncommutative differential geometry. The active contributors present both the latest results and comprehensive reviews of topics in the area. The book is accessible to researchers and graduate students interested in a variety of mathematical areas related to noncommutative geometry and its interface with modern theoretical physics.
English.
9789812775061 9812775064 1281927899 9781281927897 9786611927899 6611927891
Noncommutative differential geometry--Congresses.
Mathematical physics--Congresses.
Géométrie différentielle non commutative--Congrès.
Physique mathématique--Congrès.
SCIENCE--Physics--Mathematical & Computational.
Mathematical physics
Noncommutative differential geometry
Conference papers and proceedings
QC20.7.D52 / C64 2004eb
530.15