Verlinde/Grassmannian Correspondence and Rank 2 δ-Wall-Crossing

作     者：Yongbin Ruan Ming Zhang Yongbin Ruan;Ming Zhang

作者机构：Institute for Advanced Study in MathematicsZhejiang UniversityHangzhou 310058China Department of MathematicsUniversity of CaliforniaSan DiegoJollaCA 92093USA 

出 版 物：《Peking Mathematical Journal》 (北京数学杂志（英文）)

年 卷 期：2023年第6卷第1期

页      面：217-306页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The bulk of this work was done during the first author’s tenure at University of Michigan and he was partially supported by NSF grant DMS 1807079 and NSF FRG grant DMS 1564457 

主　　题：Verlinde/Grassmannian correspondence Quantum K-theory Gauged linear sigma model 

摘      要：Motivated by Witten’s work,we propose a K-theoretic Verlinde/Grassmannian correspondence which relates the GL Verlinde numbers to the K-theoretic quasimap invariants of the *** recover these two types of invariants by imposing different stability conditions on the gauged linear sigma model associated with the *** construct two families of stability conditions connecting the two theories and prove two wall-crossing *** confirm the Verlinde/Grassmannian correspondence in the rank two case.