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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…
math.AG2023
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…