Geodesic
Level correspondence of the K-theoretic I-function in Grassmann duality
Forum of Mathematics, Sigma, Tome 10 (2022)

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In this paper, we prove a series of identities of the quasi-map K-theoretical I-functions with level structure between the Grassmannian and its dual Grassmannian. Those identities prove the quantum K-theory version mutation conjecture stated in [13]. Here we find an interval of levels within which two I-functions are the same, and on the boundary of that interval, two I-functions intertwine. We call this phenomenon the level correspondence in Grassmann duality. 
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     author = {Hai Dong and Yaoxiong Wen},
     title = {Level correspondence of the {K-theoretic} {I-function} in {Grassmann} duality},
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Hai Dong; Yaoxiong Wen. Level correspondence of the K-theoretic I-function in Grassmann duality. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.28

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