Mod-2 Equivalence of the K-theoretic Euler and Signature Classes
Geometric Topology
2008-04-08 v1 K-Theory and Homology
Abstract
This note proves that, as K-theory elements, the symbol classes of the de Rham operator and the signature operator on a closed manifold of even dimension are congruent mod 2. An equivariant generalization is given pertaining to the equivariant Euler characteristic and the multi-signature.
Cite
@article{arxiv.0804.0927,
title = {Mod-2 Equivalence of the K-theoretic Euler and Signature Classes},
author = {James F. Davis and Pisheng Ding},
journal= {arXiv preprint arXiv:0804.0927},
year = {2008}
}
Comments
8 pages