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
Mostrar afiliaciones +
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
DOI: 10.1007/s00029-016-0279-1
Enlaces
- Texto completo
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.