13 citations · 54 across the 21 of their papers we have counts for
30 papers
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…
Revisiting the Steinberg representation at arbitrary roots of 1
Cris Negron
We consider quantum group representations for a semisimple algebraic group G at a complex root of unity q. Here q is allowed to be of any order. We revisit some fundamental results…
The half-quantum flag variety and representations for small quantum groups
Cris Negron, Julia Pevtsova
Consider an almost-simple algebraic group G and a choice of complex root of unity q. We study the category of quasi-coherent sheaves on the half-quantum flag variet…