13 citations · 54 across the 21 of their papers we have counts for
12 papers · 1 filter
3-dimensional TQFTs from derived categories of quantum group representations
Cris Negron
For any finite modular tensor category A, we show that the associated derived -category D(A) supports a topological quantum field theory in dimension 3. This TQFT takes the…
Cocompletions for non-abelian vertex tensor categories
Robert McRae, Cris Negron
It was recently shown by Huang that the category of -cofinite modules for any vertex operator algebra admits a natural braided monoidal structure. Here, we show that this…
Cochain valued TQFTs from nonsemisimple modular tensor categories
Agustina Czenky, Cris Negron
We show that a vector space valued TQFT constructed in work of De Renzi et al. [DGGPR23] extends naturally to a topological field theory which takes values in the symmetric monoida…
Quantum Frobenius and modularity for quantum groups at arbitrary roots of 1
Cris Negron
We consider quantum group representations Rep(G_q) for a semisimple algebraic group G at a complex root of unity q. Here we allow q to be of any order. We first show that the Tanna…
Quantum SL(2) and logarithmic vertex operator algebras at (p,1)-central charge
Terry Gannon, Cris Negron
We provide a ribbon tensor equivalence between the representation category of small quantum SL(2), at parameter q=exp( i/p), and the representation category of the triplet verte…
Finite generation of cohomology for Drinfeld doubles of finite group schemes
Cris Negron
We prove that the Drinfeld double of an arbitrary finite group scheme has finitely generated cohomology. That is to say, for G any finite group scheme, and D(G) the Drinfeld double…
Log-modular quantum groups at even roots of unity and the quantum Frobenius I
Cris Negron
We construct log-modular quantum groups at even order roots of unity, both as finite-dimensional ribbon quasi-Hopf algebras and as finite ribbon tensor categories, via a de-equivar…
Cohomology of finite tensor categories: duality and Drinfeld centers
Cris Negron, Julia Yael Plavnik
We consider the finite generation property for cohomology of a finite tensor category C, which requires that the self-extension algebra of the unit Ext*_C(1,1) is a finitely genera…
Twists of quantum Borel algebras
Cris Negron
We classify Drinfeld twists for the quantum Borel subalgebra u_q(b) in the Frobenius-Lusztig kernel u_q(g), where g is a simple Lie algebra over C and q an odd root of unity. More…
Gauge invariants from the powers of antipodes
Cris Negron, Siu-Hung Ng
We prove that the trace of the th power of the antipode of a Hopf algebra with the Chevalley property is a gauge invariant, for each integer . As a consequence, the order of…
Braided Hochschild cohomology and Hopf actions
Cris Negron
We show that the braided Hochschild cohomology, of an algebra in a suitably algebraic braided monoidal category, admits a graded ring structure under which it is braided commutativ…
The Gerstenhaber bracket as a Schouten bracket for polynomial rings extended by finite groups
Cris Negron, Sarah Witherspoon
We apply new techniques to Gerstenhaber brackets on the Hochschild cohomology of a skew group algebra formed from a polynomial ring and a finite group (in characteristic 0). We sho…