Heisenberg categorification and Hilbert schemes
By Sabin Cautis, Anthony M. Licata. 2010
84 citations recorded by the source corpus.
Given a finite subgroup G of SL(2,C) we define an additive 2-category H^G whose Grothendieck group is isomorphic to an integral form of the Heisenberg algebra. We construct an action of H^G on derived categories of coherent sheaves on Hilbert schemes of points on the minimal resolutions of C^2/G.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/04ae03467a9bb1d9ba7bf585ce2668c3e040f8f1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Ben Webster
- C. Stroppel
- Alistair Savage
- Anthony M. Licata
- Aaron D. Lauda
- Volodymyr Mazorchuk
- Mikhail Khovanov
- Jonathan Brundan
In Geometry and Topology
- Ben Webster
- C. Stroppel
- Aaron D. Lauda
- Anthony M. Licata
- Alistair Savage
- Mikhail Khovanov
- David E. V. Rose
- Hoel Queffelec
In Statistical and Nonlinear Physics
- C. Stroppel
- Ben Webster
- Alistair Savage
- Anthony M. Licata
- Aaron D. Lauda
- David E. V. Rose
- Hoel Queffelec
- Mikhail Khovanov
Citations in the corpus
- Quiver Schur algebras and q-Fock space (2011, background): “This is especially intriguing and promising given the various interesting categorification of Heisenberg algebras ([CL10], [Kho10], [LS11]) which appeared recently in the literature.”
- Erratum to: Hecke algebras, finite general linear groups, and Heisenberg categorification (2011, background): “The constructions of the present paper suggest that a q-deformation of the categories in [2] should also exist.”