3 papers
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…
math.AG2023
Arithmetic-Geometric Correspondence of Character Stacks via Topological Quantum Field Theory
Ángel González-Prieto, Márton Hablicsek, Jesse Vogel
In this paper, we introduce Topological Quantum Field Theories (TQFTs) generalizing the arithmetic computations done by Hausel and Rodríguez-Villegas and the geometric construction…