Quantum cohomology of the Springer resolution
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1001.0056.pdf
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Author(s)
Braverman, Alexander
Maulik, Davesh
Okounkov, Andrei
Date Issued
February 2011
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
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/j.aim.2011.01.021
