Quantum cohomology of the Springer resolution
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 qua...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Published: |
Elsevier BV
2018
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| Online Access: | http://hdl.handle.net/1721.1/115929 https://orcid.org/0000-0002-7525-318X |
| Summary: | 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 |
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