Instanton moduli spaces and $\mathscr W$-algebras
Quantum Algebra
2016-10-27 v5 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
math.MP
Representation Theory
Abstract
We describe the (equivariant) intersection cohomology of certain moduli spaces ("framed Uhlenbeck spaces") together with some structures on them (such as e.g.\ the Poincar\'e pairing) in terms of representation theory of some vertex operator algebras ("-algebras").
Cite
@article{arxiv.1406.2381,
title = {Instanton moduli spaces and $\mathscr W$-algebras},
author = {Alexander Braverman and Michael Finkelberg and Hiraku Nakajima},
journal= {arXiv preprint arXiv:1406.2381},
year = {2016}
}
Comments
117 pages; v2, 120 pages, definition of the inner product corrected; v3, 122 pages, definition of hyperbolic semi-smallness is added; v4, 124 pages, edited according to the referee's suggestion; v5, 122 pages, reformatted with smfart.cls so that numberings are the same as published version