Noncommutative Differential Geometry and Its Applications to Physics
Subtitle: Proceedings of the Workshop at Shonan, Japan, June 1999
By: edited by Yoshiaki Maeda, Hitoshi Moriyoshi, Hideki Omori, Daniel Sternheimer, Tatsuya Tate, Satoshi Watamura
Contributors: Moriyoshi, Hitoshi; Omori, Hideki; Sternheimer, Daniel; Tate, Tatsuya; Watamura, Satoshi
Series: Mathematical Physics Studies -- 23; Mathematical Physics Studies -- 23
Publisher: Springer Netherlands
Published: 2001
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 308
ISBN-13: 9789401038294; 9789401007047
Subjects: Integral Transforms; Quantum theory; Physics; Global analysis
Other titles: Proceedings of the Workshop at Shonan, Japan, June 1999
Description: Noncommutative differential geometry is a new approach to classical geometry. It was originally used by Fields Medalist A. Connes in the theory of foliations, where it led to striking extensions of Atiyah-Singer index theory. It also may be applicable to hitherto unsolved geometric phenomena and physical experiments. However, noncommutative differential geometry was not well understood even among mathematicians. Therefore, an international symposium on commutative differential geometry and its applications to physics was held in Japan, in July 1999. Topics covered included: deformation problems, Poisson groupoids, operad theory, quantization problems, and D-branes. The meeting was attended by both mathematicians and physicists, which resulted in interesting discussions. This volume contains the refereed proceedings of this symposium. Providing a state of the art overview of research in these topics, this book is suitable as a source book for a seminar in noncommutative geometry and physics.
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