2 citations · 2 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
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…
Motivic Higman's Conjecture
Jesse Vogel
The -representation variety parametrizes the representations of the fundamental groups of surfaces into an algebraic group . Taking to be the groups…
Virtual Classes of Character Stacks
Ángel González-Prieto, Márton Hablicsek, Jesse Vogel
In this paper, we extend the Topological Quantum Field Theory developed by González-Prieto, Logares, and Muñoz for computing virtual classes of -representation varieties of clos…
A Topological Quantum Field Theory for Character Varieties of Non-orientable Surfaces
Jesse Vogel
In this paper, we study the -representation and character varieties of non-orientable closed surfaces. By means of a geometric method based on a Topological Quantum Field Theory…
Virtual Classes of Representation Varieties of Upper Triangular Matrices via Topological Quantum Field Theories
Márton Hablicsek, Jesse Vogel
In this paper, we use a geometric technique developed by González-Prieto, Logares, Muñoz, and Newstead to study the -representation variety of surface groups $\mathfrak{X}_G(Σ_g…