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We apply the mechanism of factorization homology to construct and compute category‐
valued two‐dimensional topological field theories associated to braided tensor categories …

We compute quantum character varieties of arbitrary closed surfaces with boundaries and
marked points. These are categorical invariants ∫ _S A∫ SA of a surface S, determined by …

We prove that quantized multiplicative quiver varieties, quantum character varieties, and
Kauffman bracket skein algebras each define sheaves of Azumaya algebras over the …

We introduce equivariant factorization homology, extending the axiomatic framework of
Ayala-Francis to encompass multiplicative invariants of manifolds equipped with finite group …

Abstract Let $\Sigma_ {g, n} $ be a compact oriented surface of genus $ g $ with $ n $ open
disks removed. The algebra $\mathcal {L} _ {g, n}(H) $ was introduced by Alekseev-Grosse …

We construct an explicit Harish-Chandra isomorphism, from the quantum Hamiltonian
reduction of the algebra Dq. GL2/of quantum differential operators on GL2, to the spherical …

We prove cocontinuity of the max-tensor product of C-categories and develop a framework
to perform factorization homology in a C-setting. In such context, we specialize some results …

Given a module for the algebra of quantum differential operators on, and a positive integer,
we may equip the space of invariant tensors in, with an action of the double affine Hecke …

In this short mostly expository note, we sketch a program for gauging fully extended
topological field theories in 3 dimensions. One begins with the spherical fusion category with …