Noncommutative Differential Geometry and Its Applications to Physics

Preface. Methods of Equivariant Quantization; C. Dubal, et al. Application of Noncommutative Differential Geometry on Lattice to Anomaly Analysis in Abelian Lattice Gauge Theory; T. Fujiwara, et al. Geometrical Structures on Noncommutative Spaces; O. Grandjean. A Relation Between Commutative and Noncommutative Descriptions of D-Branes; N. Ishibashi. Intersection Numbers on the Moduli Spaces of Stable Maps in Genus 0; A. Kabanov, T. Kimura. D-Brane Actions on Kähler Manifolds; A. Kato. On the Projective Classification of the Modules of Differential Operators on Rm; P.B.A. Lecomte. An Interpretation of Schouten-Nijenhuis Bracket; K. Mikami. Remarks on the Characteristic Classes Associated with the Group of Fourier Integral Operators; N. Miyazaki. C*-Algebraic Deformation and Index Theory; T. Natsume. Singular Systems of Exponential Functions; H. Omori, et al. Determinants of Elliptic Boundary Problems in Quantum Field Theory; S.G. Scott, et al. On Geometry of Non-Abelian Duality; P. Severa. Weyl Calculus and Wigner Transform on the Poincaré Disk; T. Tate. Lectures on Graded Differential Algebras and Noncommutative Geometry; M. Dubois-Violette.