K-Theoretic I-function of V//_θ G and Application

2019/05/30 by Yaoxiong Wen, Wen, Yaoxiong · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG

paper · pdf · doi:10.48550/arxiv.1906.00775

openalex publication_date 2019/05/30 · arxiv created 2019/06/07 · arxiv updated 2019/06/11 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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.

Citations

• Quantum K -theory, I: Foundations
• S¹-fixed-points in hyper-Quot-schemes and an exact mirror formula for flag manifolds from the extended mirror principle diagram
• K-theoretic quasimap invariants and their wall-crossing

Cited by

• Quantum K-Theory of Grassmannians and Non-Abelian Localization

Related

• The Abelian-Nonabelian Correspondence for I-functions
• Big I-functions
• Level correspondence of K-theoretic I-function in Grassmann duality
• Abelianization and Quantum Lefschetz for Orbifold Quasimap I-Functions
• Quasimaps to GIT fiber bundles and applications