3 papers
math.AG2025
Motivic (Representation) Stability of Representation Varieties and Character Stacks
Márton Hablicsek, Jesse Vogel
In this paper, we introduce the notions of motivic representation stability that is an algebraic counterpart of the notion of representation stability. In the process, we also intr…
math.AG2024
The log Grothendieck ring of varieties
Andreas Gross, Leo Herr, David Holmes +2
We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``'' over the usual Grothendieck ring. We show the naïve definition of log Ho…
math.AG2024
Cohomology of character stacks via TQFTs
Jesse Vogel
We study the cohomology of -representation varieties and -character stacks by means of a topological quantum field theory (TQFT). This TQFT is constructed as the composite of…