2012 / June Volume 7 No.2
A Survey Of Heisenberg Categorification via Graphical Calculus
| Published Date |
2012 / June
|
|---|---|
| Title | A Survey Of Heisenberg Categorification via Graphical Calculus |
| Author | |
| Keyword | |
| Download | |
| Pagination | 291-321 |
| Abstract | In this expository
paper we present an overview of various graphical categorifications
of the Heisenberg algebra and its Fock space representation. We
begin with a discussion of ``weak'' categorifications via modules
for Hecke algebras and ``geometrizations'' in terms of the
cohomology of the Hilbert scheme of points on the resolution of a
simple singularity. We then turn our attention to more recent
``strong'' categorifications involving planar diagrammatics and
derived categories of coherent sheaves on Hilbert schemes.
|
| AMS Subject Classification |
20C08, 14F05, 17B65
|
| Received |
2011-07-14
|
| Accepted |
2011-07-20
|