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

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arxiv 2406.13739 v1 pith:IJYIEIQ7 submitted 2024-06-19 hep-th

Wei Gu , Jirui Guo , Leonardo Mihalcea , Yaoxiong Wen , Xiaohan Yan This is my paper · ORCID
classification hep-th
keywords quantumcohomologycorrespondencegrassmanniansringtheoryabelianarguments
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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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