Product formula for Atiyah-Patodi-Singer index classes and higher signatures
Differential Geometry
2009-04-14 v2 K-Theory and Homology
Abstract
We define generalized Atiyah-Patodi-Singer boundary conditions of product type for Dirac operators associated to C*-vector bundles on the product of a compact manifold with boundary and a closed manifold. We prove a product formula for the K-theoretic index classes, which we use to generalize the product formula for the topological signature to higher signatures.
Keywords
Cite
@article{arxiv.0811.0091,
title = {Product formula for Atiyah-Patodi-Singer index classes and higher signatures},
author = {Charlotte Wahl},
journal= {arXiv preprint arXiv:0811.0091},
year = {2009}
}
Comments
33 pages; revised and expanded, for the odd signature class more general definition (depending on a Lagrangian) used