arXiv:hep-th/9907189v2 6 Mar 2000 Page 1 arXiv:hep-th/9907189v2 6 Mar 2000 Anomalies in
String Theory with D-Branes Daniel S. Freed Edward Witten Department of Mathematics …

For a continuous curve of families of Dirac type operators we define a higher spectral flow as
aK-group element. We show that this higher spectral flow can be computed analytically byη …

We present a detailed proof of the existence-theorem for noncommutative spectral sections
(see the noncommutative spectral flow, unpublished preprint, 1997). We apply this result to …

We establish a geometric quantization formula for Hamiltonian actions of a compact Lie
group acting on a non-compact symplectic manifold such that the associated moment map is …

Let N be a closed connected spin manifold admitting one metric of positive scalar curvature.
In this paper we use the higher eta-invariant associated to the Dirac operator on N in order …

A GENERALIZED MORSE INDEX THEOREM 1. Introduction 1.1. History Let (M, g) be an n-dimensional
Riemannian manifold. The classical Page 1 Analysis, Geometry and Topology of Elliptic …

We review the concepts of the index of a Fredholm operator, the spectral flow of a curve of
self-adjoint Fredholm operators, the Maslov index of a curve of Lagrangian subspaces in a …

We define and study the noncommutative spectral flow for paths of regular selfadjoint
Fredholm operators on a countably generated Hilbert C*-module. We give an axiomatic …

Let X be a closed Riemannian manifold and let H\hookrightarrow X be an embedded
hypersurface. Let X= X_+\cup_H X_-be a decomposition of X into two manifolds with …

Through a general theory for relative spectral invariants, we study the ζ-determinant of
global boundary problems of APS-type. In particular, we compute the ζ-determinant ratio for …