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arXiv · 2201.12951

Quantum $K$-theory of $G/P$ and $K$-homology of affine Grassmannian

Chi Hong Chow·Naichung Conan Leung
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Abstract

This paper is the $K$-theoretic analogue of a recent new proof, given by the first named author, of Peterson-Lam-Shimozono's theorem via Savelyev's generalization of Seidel representations. The outcome is a new proof of Lam-Li-Mihalcea-Shimozono's conjecture, including its extension to the parabolic case, which was first verified by Kato.

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Chi Hong Chow, Naichung Conan Leung. 2022-01-31. Quantum $K$-theory of $G/P$ and $K$-homology of affine Grassmannian. https://arxiv.org/abs/2201.12951

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