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

• Michael Finkelberg ^[1] ; Victor Ginzburg ^[2] ; Andrei Ionov ^[3] ; Alexander Kuznetsov ^[1]
  1. [1] Higher School of Economics, National Research University

     Higher School of Economics, National Research University

     Rusia

     
  2. [2] University of Chicago

     University of Chicago

     City of Chicago, Estados Unidos

     
  3. [3] National Research University – Higher School of Economic

     National Research University – Higher School of Economic

     Rusia

     

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 4 (Special Issue: The Mathematics of Joseph Bernstein), 2016, págs. 2491-2534
• Idioma: inglés
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• Resumen

  • 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.