Noncommutative Differential Geometry and Its Applications to Physics Proceedings of the Workshop at Shonan, Japan, June 1999

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 phy...

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Bibliographic Details
Other Authors: Maeda, Yoshiaki (Editor), Moriyoshi, Hitoshi (Editor), Omori, Hideki (Editor), Sternheimer, Daniel (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2001, 2001
Edition:1st ed. 2001
Series:Mathematical Physics Studies
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Methods Of Equivariant Quantization
  • Application of Noncommutative Differential Geometry on Lattice to Anomaly Analysis in Abelian Lattice Gauge Theory
  • Geometrical Structures on Noncommutative Spaces
  • A Relation Between Commutative and Noncommutative Descriptions of D-Branes
  • Intersection Numbers On The Moduli Spaces Of Stable Maps In Genus 0
  • D-Brane Actions On Kähler Manifolds
  • On The Projective Classification Of The Modules Of Differential Operators On ?m
  • An Interpretation Of Schouten-Nijenhuis Bracket
  • Remarks On The Characteristic Classes Associated With The Group Of Fourier Integral Operators
  • C*-Algebraic Deformation And Index Theory
  • Singular Systems Of Exponential Functions
  • Determinants Of Elliptic Boundary Problems In Quantum Field Theory
  • On Geometry Of Non-Abelian Duality
  • Weyl Calculus And Wigner Transform On The Poincaré Disk
  • Lectures On Graded Differential Algebras And Noncommutative Geometry