Index theory in spaces of manifolds
Algebraic Topology
2019-01-28 v3 K-Theory and Homology
Abstract
We formulate and prove a generalization of the Atiyah-Singer family index theorem in the context of the theory of spaces of manifolds \`a la Madsen, Tillmann, Weiss, Galatius and Randal-Williams. Our results are for Dirac-type operators linear over arbitrary -algebras.
Keywords
Cite
@article{arxiv.1608.01701,
title = {Index theory in spaces of manifolds},
author = {Johannes Ebert},
journal= {arXiv preprint arXiv:1608.01701},
year = {2019}
}
Comments
Final version, to appear in Mathematische Annalen