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Astérisque - Parutions - 385 (2016)

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Instanton moduli spaces and W-algebras
Alexander Braverman, Michael Finkelberg, Hiraku Nakajima
Astérisque 385 (2016), vii+128 pages
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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 Poincaré pairing) in terms of representation theory of some vertex operator algebras (“W-algebras”).

Keywords: AGT, equivariant intersection cohomology, Gieseker space, Heisenberg algebra, hyperbolic restriction, instanton moduli space, Kac-Shapovalov form, Poincaré pairing, stable envelope, Uhlenbeck space, -algebra, Whittaker vector

Class. math. : 14C05; 14D21, 14J60


ISBN : 978-2-85629-848-0
ISSN : 0303-1179
Publié avec le concours de : Centre National de la Recherche Scientifique

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