41 citations · 182 across the 21 of their papers we have counts for
27 papers
Character theory for 2-representations
Kate Ponto, Travis Wheeler
Group representations very comfortably admit a higher categorical generalization. This includes induction and restriction for 2-representations that very directly parallel classica…
A cofibrant model of Waldhausen K-theory
Kate Ponto, Inna Zakharevich
This paper gives some technical results about cofibrant symmetric spectra of simplicial sets, and uses them to produce a model of the -theory of a Waldhausen category that lands…
Smash powers and traces on parametrized spectra: An application of rigidity
Cary Malkiewich, Kate Ponto
The bicategory of parametrized spectra has a remarkably rich structure. We can take traces in this bicategory, giving classical invariants that count fixed points. We can also take…
Riemann-Roch theorems in monoidal 2-categories
Jonathan A. Campbell, Kate Ponto
Smooth and proper dg-algebras have an Euler class valued in the Hochschild homology of the algebra. This Euler class is worthy of this name since it satisfies many familiar propert…
Coherence for bicategories, lax functors, and shadows
Cary Malkiewich, Kate Ponto
Coherence theorems are fundamental to how we think about monoidal categories and their generalizations. In this paper we revisit Mac Lane's original proof of coherence for monoidal…
Obstructions in a model category and Klein and Williams' intersection invariants
Kate Ponto
We give an obstruction for lifts and extensions in a model category inspired by Klein and Williams' work on intersection theory. In contrast to the familiar obstructions from algeb…