Quantum K-Theory of Grassmannians and Non-Abelian Localization
In the example of complex Grassmannians, we demonstrate various techniques available for computing genus-0 K-theoretic GW-invariants of flag manifolds and more general quiver varieties. In particular, we address explicit reconstruction of all such invariants using finite-difference operators, the ro...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211170 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Quantum K-Theory of Grassmannians and Non-Abelian Localization. Alexander Givental and Xiaohan Yan. SIGMA 17 (2021), 018, 24 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | In the example of complex Grassmannians, we demonstrate various techniques available for computing genus-0 K-theoretic GW-invariants of flag manifolds and more general quiver varieties. In particular, we address explicit reconstruction of all such invariants using finite-difference operators, the role of the -hypergeometric series arising in the context of quasimap compactifications of spaces of rational curves in such varieties, the theory of twisted GW-invariants, including level structures, as well as the Jackson-type integrals playing the role of equivariant K-theoretic mirrors.
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| ISSN: | 1815-0659 |