Noncommutative Differential Geometry and Its Applications to Physics
Proceedings of the Workshop at Shonan, Japan, June 1999
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Author
Contributions
- Moriyoshi, Hitoshi - Contributor
- Omori, Hideki - Contributor
- Sternheimer, Daniel - Contributor
- Tate, Tatsuya - Contributor
- Watamura, Satoshi - Contributor
Publication
2001 - Springer Netherlands, Dordrecht, Netherlands
Language
English
Word Count
77,000 words, Guess
Page Count
308 pages
Physical Format
[electronic resource] :
Identifiers
- Open LibraryOL27077492M
- ISBN-139789401038294
- ISBN-109401038295
- OCLC Control Number851367371
- OCLC Control Numbernoncommutativedi1999duva
Classifications
- DDC530.12
- LCCQC173.96-174.52
Alternate 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.
Subjects
Series Statement
- Mathematical Physics Studies -- 23
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