Quantum cohomology of the Springer resolution

Author(s)
Braverman, Alexander; Maulik, Davesh; Okounkov, Andrei
Thumbnail
Download1001.0056.pdf (394.2Kb)
OPEN_ACCESS_POLICY
Terms of use
Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/
Metadata
Show full item record
Abstract
Let G denote a complex, semi-simple, simply-connected group and B its associated flag variety. We identify the equivariant quantum differential equation for the cotangent bundle T*B with the affine Knizhnik-Zamolodchikov connection of Cherednik and Matsuo. This recovers Kim's description of quantum cohomology of B as a limiting case. A parallel result is proven for resolutions of the Slodowy slices. Extension to arbitrary symplectic resolutions is discussed. Keywords: Quantum cohomology; Springer resolution; KZ connection; Symplectic resolutions; Dunkl operators
Date issued
2011-02
URI
http://hdl.handle.net/1721.1/115929
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Advances in Mathematics
Publisher
Elsevier BV
Citation
Braverman, Alexander et al. “Quantum Cohomology of the Springer Resolution.” Advances in Mathematics 227, 1 (May 2011): 421–458 © 2011 Elsevier Inc
Version: Original manuscript
ISSN
0001-8708
1090-2082
Collections