474 citations · 805 across the 21 of their papers we have counts for
22 papers
Higher Tensor Product for sl2 and Webster algebras
Mark Ebert, Raphael Rouquier
We construct a model for the tensor product of the regular 2-representation of the enveloping algebra of with the vector 2-representation, based on the …
2-Representations of sl2 from Quasi-Maps
Raphael Rouquier
We describe a new type of -representations, using coherent sheaves. Feigin, Finkelberg, Kuznetsov, Mirković and Braverman have provided a construction of Verma modules for compl…
Higher representations and cornered Heegaard Floer homology
Andrew Manion, Raphael Rouquier
We develop the 2-representation theory of the odd one-dimensional super Lie algebra and show it controls the Heegaard-Floer theory of surfaces of Lipshitz, Ozsváth and…
Translation by the full twist and Deligne-Lusztig varieties
Cédric Bonnafé, Olivier Dudas, Raphaël Rouquier
We prove several conjectures about the cohomology of Deligne-Lusztig varieties: invariance under conjugation in the braid group, behaviour with respect to translation by the full t…
Finite generation of cohomology of finite groups
Raphael Rouquier
We give a proof of the finite generation of the cohomology ring of a finite p-group over F_p by reduction to the case of elementary abelian groups, based on Serre's Theorem on prod…
Khovanov-Rozansky homology and 2-braid groups
Raphaël Rouquier
Khovanov has given a construction of the Khovanov-Rozansky link invariants (categorifying the HOMFLYPT invariant) using Hochschild cohomology of 2-braid groups. We give a direct pr…