Noncommutative Differential Geometry and Its Applications to Physics: Proceedings of the Workshop at Shonan, Japan, June 1999 2001 Edition Contributor(s): Maeda, Yoshiaki (Editor), Moriyoshi, Hitoshi (Editor), Omori, Hideki (Editor) |
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ISBN: 0792369300 ISBN-13: 9780792369301 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: March 2001 Annotation: 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. |
Additional Information |
BISAC Categories: - Mathematics | Mathematical Analysis - Science | Physics - Nuclear - Mathematics | Geometry - Differential |
Dewey: 514.74 |
LCCN: 2001022461 |
Series: Astrophysics and Space Science Library |
Physical Information: 0.75" H x 6.14" W x 9.21" (1.40 lbs) 308 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |