Equivariant Fixed Point Theory

Details Equivariant Fixed Point Theory Equivariant Fixed Point Theory

2009-10-07

arxiv.org/abs/0910.1274v1

Mathematics

Algebraic Topology

Scientific paper

The Lefschetz fixed point theorem and its converse have many generalizations. One of these generalizations is to endomorphisms of a space with a group action. In this paper we define equivariant Lefschetz numbers and Reidemeister traces using traces in bicategories with shadows. We use the functoriality of this trace to identify different forms of these invariants and to prove an equivariant Lefschetz fixed point theorem and its converse.

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