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1 results

  • Level correspondence of the K-theoretic I-function in Grassmann duality

  • Part of
  • Hai Dong, Yaoxiong Wen
  • Journal:
    Forum of Mathematics, Sigma / Volume 10 / 2022
    Published online by Cambridge University Press:
    15 June 2022, e44
    • Article
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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.