Pursuing the double affine Grassmannian. I: Transversal slices via instantons on \(A_k\)-singularities

DOI10.1215/00127094-2010-011zbMath1200.14083arXiv0711.2083OpenAlexW2962981748MaRDI QIDQ968950

Michael Finkelberg, Alexander Braverman

Publication date: 11 May 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2083

zbMATH Keywords

Grassmanniansmoduli spaceintersection cohomologyreductive groupgeometric Satake isomorphismLanglands dualityKac-Moody groupUhlenbeck space

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Grassmannians, Schubert varieties, flag manifolds (14M15) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Kac-Moody groups (20G44) Geometric Langlands program: representation-theoretic aspects (22E57)

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