Selecta Mathematica

, Volume 22, Issue 4, pp 2491–2534 | Cite as

Intersection cohomology of the Uhlenbeck compactification of the Calogero–Moser space

  • Michael Finkelberg
  • Victor Ginzburg
  • Andrei Ionov
  • Alexander Kuznetsov
Article
  • 87 Downloads

Abstract

We study the natural Gieseker and Uhlenbeck compactifications of the rational Calogero–Moser phase space. The Gieseker compactification is smooth and provides a small resolution of the Uhlenbeck compactification. We use the resolution to compute the stalks of the IC-sheaf of the Uhlenbeck compactification.

Mathematics Subject Classification

58B25 16532 14F43 

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Copyright information

© Springer International Publishing 2016

Authors and Affiliations

  • Michael Finkelberg
    • 1
    • 2
  • Victor Ginzburg
    • 3
  • Andrei Ionov
    • 1
  • Alexander Kuznetsov
    • 4
    • 5
    • 6
  1. 1.Department of MathematicsNational Research University Higher School of Economics, Russian FederationMoscowRussia
  2. 2.Institute for Information Transmission ProblemsMoscowRussian Federation
  3. 3.Department of MathematicsUniversity of ChicagoChicagoUSA
  4. 4.Steklov Mathematical InstituteAlgebraic Geometry SectionMoscowRussian Federation
  5. 5.The Poncelet Laboratory, Independent University of Moscow, Russian FederationMoscowRussia
  6. 6.Laboratory of Algebraic GeometryNational Research University Higher School of Economics, Russian FederationMoscowRussia

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