114 citations · 522 across the 32 of their papers we have counts for
4 papers · 1 filter
Webs and quantum skew Howe duality
Sabin Cautis, Joel Kamnitzer, Scott Morrison
We give a diagrammatic presentation in terms of generators mod relations of the representation category of . More precisely, we produce all the relations amon…
Braid group actions via categorified Heisenberg complexes
Sabin Cautis, Anthony Licata, Joshua Sussan
We construct categorical braid group actions from 2-representations of a Heisenberg algebra. These actions are induced by certain complexes which generalize spherical (Seidel-Thoma…
Clasp technology to knot homology via the affine Grassmannian
Sabin Cautis
We categorify all the Reshetikhin-Turaev tangle invariants of type A. Our main tool is a categorification of the generalized Jones-Wenzl projectors (a.k.a. clasps) as infinite twis…
Derived Reid's recipe for abelian subgroups of SL3(C)
Sabin Cautis, Alastair Craw, Timothy Logvinenko
For any finite subgroup G in SL3(C), work of Bridgeland-King-Reid constructs an equivalence between the G-equivariant derived category of C^3 and the derived category of the crepan…