arXiv:2309.06543v1 [math.QA] 12 Sep 2023 Page 1 QUANTUM CHARACTER VARIETIES
DAVID JORDAN Abstract. In this survey article for the Encyclopedia of Mathematical Physics …

We study a class of generalized cluster categories arising from relative Ginzburg algebras of
triangulated marked surfaces without punctures. We show that these categories describe $1 …

In this paper, we extend the Topological Quantum Field Theory developed by Gonz\'alez-
Prieto, Logares, and Mu\~ noz for computing virtual classes of $ G $-representation varieties …

We develop a theory of stated SL (nn)‐skein modules, S n (M, N) S_n(M,N), of 3‐manifolds
MM marked with intervals NN in their boundaries. These skein modules, generalizing stated …

arXiv:2403.12882v1 [math.QA] 19 Mar 2024 Page 1 arXiv:2403.12882v1 [math.QA] 19 Mar
2024 Quantum invariants arising from Uhsl(2|1) are q-holonomic Jennifer Brown and Nathan …

In this thesis we extend the factorization homology method for quantizing G-character
varieties due to D. Ben-Zvi, A. Brochier and D. Jordan to surfaces with certain decorations to …

For a marked surface Σ and a semisimple algebraic group G of adjoint type, we study the
Wilson line morphism g [c]: PG, Σ→ G associated with the homotopy class of an arc c …

The topics of this dissertation fall under the purview of quantum topology, which seeks to
build connections between the insights and constructions of quantum physics and classical …