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arXiv · 2406.13739

A correspondence between the quantum K theory and quantum cohomology of Grassmannians

Wei Gu·Jirui Guo·Leonardo Mihalcea·Yaoxiong Wen·Xiaohan Yan
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Abstract

We utilize physics arguments, and the nonabelian/abelian correspondence, to relate the Givental and Lee's quantum K theory ring of Grassmannians to a twisted variant of the quantum cohomology ring. Furthermore, the quantum K pairing is related to correlators arising from supersymmetric localization. We state some mathematical conjectures, which we illustrate in several examples.

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Wei Gu, Jirui Guo, Leonardo Mihalcea, Yaoxiong Wen, Xiaohan Yan. 2024-06-19. A correspondence between the quantum K theory and quantum cohomology of Grassmannians. https://arxiv.org/abs/2406.13739

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