Year: 2011
Type: article
Abstract: The Lefschetz fixed point theorem and its converse have many generalizations.One of these generalizations is to endomorphisms of a space relative to a fixed subspace.In this paper we define relative 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 a relative Lefschetz fixed point theorem and its converse.
Source: Algebraic & Geometric Topology
Author: Kate Ponto
Institution: University of Kentucky
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2022520376