Geodesic
Quantum $\mathrm{K}$-Theory of Grassmannians and Non-Abelian Localization
Symmetry, integrability and geometry: methods and applications, Tome 17 (2021) Cet article a éte moissonné depuis la source Math-Net.Ru

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In the example of complex grassmannians, we demonstrate various techniques available for computing genus-$0$ $\mathrm{K}$-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 $q$-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 $\mathrm{K}$-theoretic mirrors.
Keywords: Gromov–Witten invariants, $\mathrm{K}$-theory, grassmannians, non-abelian localization. 
@article{SIGMA_2021_17_a17,
     author = {Alexander Givental and Xiaohan Yan},
     title = {Quantum $\mathrm{K}${-Theory} of {Grassmannians} and {Non-Abelian} {Localization}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2021},
     volume = {17},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a17/}
}
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Alexander Givental; Xiaohan Yan. Quantum $\mathrm{K}$-Theory of Grassmannians and Non-Abelian Localization. Symmetry, integrability and geometry: methods and applications, Tome 17 (2021). http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a17/

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