41 citations · 182 across the 21 of their papers we have counts for
Showing 2009Show all
3 papers · 1 filter
math.CT2009★ 26 cited
Shadows and traces in bicategories
Kate Ponto, Michael Shulman
Traces in symmetric monoidal categories are well-known and have many applications; for instance, their functoriality directly implies the Lefschetz fixed point theorem. However, fo…
math.AT2009
Equivariant Fixed Point Theory
Kate Ponto
We reexamine equivariant generalizations of the Lefschetz number and Reidemeister trace using categorical traces. This gives simple, conceptual descriptions of the invariants as we…
math.AT2009★ 8 cited
Relative fixed point theory
Kate Ponto
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 pape…