Equivariant Fixed Point Theory

2009/10/07 by Kate Ponto, Ponto, Kate
Mathematics · #55M20 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55M20

paper · pdf · doi:10.48550/arxiv.0910.1274

Revisions to improve exposition

arxiv created 2015/03/24 · arxiv updated 2015/03/25

Abstract

We reexamine equivariant generalizations of the Lefschetz number and Reidemeister trace using categorical traces. This gives simple, conceptual descriptions of the invariants as well as direct comparisons to previously defined generalizations. These comparisons are illuminating applications of the additivity and multiplicativity of the categorical trace.

Related

• The linearity of fixed point invariants
• Coincidence invariants and higher Reidemeister traces
• An averaging formula for the coincidence Reidemeister trace
• A Lefschetz fixed-point formula for noncompact fixed-point sets
• The Reidemeister Trace of an n-valued map