Axiomatic Description of Lefschetz Type Equivariant Homotopy Invariants

2013/01/30 by Philipp Wruck, Wruck, Philipp
Computer Science · Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT

paper · pdf · doi:10.48550/arxiv.1301.7308

arxiv created 2013/01/30 · arxiv updated 2013/01/31

Abstract

We describe generators of universal Lefschetz groups consisting of self-maps of equivariant 1-spheres. This allows to formulate a normalization axiom which, together with the usual axioms, determines an equivariant Lefschetz number uniquely. We apply this technique to identify the fixed orbit detecting equivariant Lefschetz number of Chorny with the fixed orbit index of Dzedzej.

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