41 citations · 182 across the 21 of their papers we have counts for
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The additivity of traces in monoidal derivators
Moritz Groth, Kate Ponto, Michael Shulman
Motivated by traces of matrices and Euler characteristics of topological spaces, we expect abstract traces in a symmetric monoidal category to be "additive". When the category is "…
Duality and traces for indexed monoidal categories
Kate Ponto, Michael Shulman
By the Lefschetz fixed point theorem, if an endomorphism of a topological space is fixed-point-free, then its Lefschetz number vanishes. This necessary condition is not usually suf…
Coincidence invariants and higher Reidemeister traces
Kate Ponto
The Lefschetz number and fixed point index can be thought of as two different descriptions of the same invariant. The Lefschetz number is algebraic and defined using homology. The…
The multiplicativity of fixed point invariants
Kate Ponto, Michael Shulman
We prove two general factorization theorems for fixed-point invariants of fibrations: one for the Lefschetz number and one for the Reidemeister trace. These theorems imply the fami…