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

作　　者：Yongbin Ruan Ming Zhang 

机构地区：[1]Institute for Advanced Study in Mathematics,Zhejiang University,Hangzhou 310058,China [2]Department of Mathematics,University of California,San Diego,Jolla,CA 92093,USA

出　　处：《Peking Mathematical Journal》2023年第1期217-306,共90页北京数学杂志（英文）

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.

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 Grassmannian.We recover these two types of invariants by imposing different stability conditions on the gauged linear sigma model associated with the Grassmannian.We construct two families of stability conditions connecting the two theories and prove two wall-crossing results.We confirm the Verlinde/Grassmannian correspondence in the rank two case.

关 键 词：Verlinde/Grassmannian correspondence Quantum K-theory Gauged linear sigma model 

分 类 号：O186.11[理学—数学]