Instanton moduli spaces and $\mathscr W$-algebras

Alexander Braverman; Hiraku Nakajima; Michael Finkelberg

Instanton moduli spaces and $\mathscr W$-algebras

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arxiv 1406.2381 v5 pith:24V4U4AT submitted 2014-06-09 math.QA hep-thmath-phmath.AGmath.MPmath.RT

Alexander Braverman , Michael Finkelberg , Hiraku Nakajima This is my paper · ORCID

classification math.QAhep-thmath-phmath.AGmath.MPmath.RT

keywords algebrasspacesmathscrmodulisomecertaincohomologydescribe

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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 ("$\mathscr W$-algebras").

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