Mathematical Physics Studies

Noncommutative Differential Geometry and Its Applications to Physics

Proceedings of the Workshop at Shonan, Japan, June 1999

Editors: Maeda, Y., Moriyoshi, H., Omori, H., Sternheimer, D., Tate, T., Watamura, S. (Eds.)

Buy this book

eBook $169.00
price for USA (gross)
  • ISBN 978-94-010-0704-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.00
price for USA
  • ISBN 978-0-7923-6930-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $219.00
price for USA
  • ISBN 978-94-010-3829-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (15 chapters)

  • Methods of Equivariant Quantization

    Duval, Christian (et al.)

    Pages 1-12

  • Application of Noncommutative Differential Geometry on Lattice to Anomaly Analysis in Abelian Lattice Gauge Theory

    Fujiwara, Takanori (et al.)

    Pages 13-30

  • Geometrical Structures on Noncommutative Spaces

    Grandjean, Olivier

    Pages 31-48

  • A Relation Between Commutative and Noncommutative Descriptions of D-Branes

    Ishibashi, Nobuyuki

    Pages 49-61

  • Intersection Numbers on the Moduli Spaces of Stable Maps in Genus 0

    Kabanov, Alexandre (et al.)

    Pages 63-98

Buy this book

eBook $169.00
price for USA (gross)
  • ISBN 978-94-010-0704-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.00
price for USA
  • ISBN 978-0-7923-6930-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $219.00
price for USA
  • ISBN 978-94-010-3829-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Noncommutative Differential Geometry and Its Applications to Physics
Book Subtitle
Proceedings of the Workshop at Shonan, Japan, June 1999
Editors
  • Yoshiaki Maeda
  • Hitoshi Moriyoshi
  • Hideki Omori
  • Daniel Sternheimer
  • Tatsuya Tate
  • Satoshi Watamura
Series Title
Mathematical Physics Studies
Series Volume
23
Copyright
2001
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-010-0704-7
DOI
10.1007/978-94-010-0704-7
Hardcover ISBN
978-0-7923-6930-1
Softcover ISBN
978-94-010-3829-4
Series ISSN
0921-3767
Edition Number
1
Number of Pages
VIII, 308
Topics