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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…
The Hochschild cohomology ring of a global quotient orbifold
Cris Negron, Travis Schedler, Pieter Belmans +1
We study the cup product on the Hochschild cohomology of the stack quotient [X/G] of a smooth quasi-projective variety X by a finite group G. More specifically, we construct a G-eq…
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…
-coderivations and the Gerstenhaber bracket on Hochschild cohomology
C. Negron, Y. Volkov, S. Witherspoon
We show that Hochschild cohomology of an algebra over a field is a space of infinity coderivations on an arbitrary projective bimodule resolution of the algebra. The Gerstenhaber b…