Mod-2 Equivalence of the K-theoretic Euler and Signature Classes

Details Mod-2 Equivalence of the K-theoretic Euler and Signature Classes Mod-2 Equivalence of the K-theoretic Euler and Signature Classes

2008-04-06

arxiv.org/abs/0804.0927v1

Mathematics

Geometric Topology

8 pages

Scientific paper

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.

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