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K-Theoretic $I$-function of $V//_{\theta} \mathbf{G}$ and Application

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arxiv 1906.00775 v2 pith:2XTCRHDV submitted 2019-05-30 math.AG

Yaoxiong Wen This is my paper · ORCID
classification math.AG
keywords functionk-theoreticlevelabeliananalogousapplicationcasecomplete
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abstract

In this paper, we compute K-theoretic $I$-function with level structure (defined by quasi-map theory) of GIT-quotient of a vector space via abelian and non-abelian correspondence. As a consequence, we generalize Givental-Lee's result to find the analogous "Toda operators" for the $I$-function with nontrivial level structures in the case of complete flag variety.

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  1. Quantum K-theory levels in physics and math

    hep-th 2025-06 conditional novelty 6.0 of 10

    Chern-Simons levels and Ruan-Zhang levels are identified as the same twisting of quantum K-theory, with Coulomb branch equations matching difference operator symbols and geometric windows matching mirror triviality.

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