K-theoretic quasimap invariants and their wall-crossing

Hsian-Hua Tseng Ohio State University Fenglong You Ohio State University


arXiv, 2016.2
For each positive rational number ϵ, we define K-theoretic ϵ-stable quasimaps to certain GIT quotients $W\sslash G$. For ϵ>1, this recovers the K-theoretic Gromov-Witten theory of $W\sslash G$ introduced in more general context by Givental and Y.-P. Lee. For arbitrary ϵ1 and ϵ2 in different stability chambers, these K-theoretic quasimap invariants are expected to be related by wall-crossing formulas. We prove wall-crossing formulas for genus zero K-theoretic quasimap theory when the target $W\sslash G$ admits a torus action with isolated fixed points and isolated one-dimensional orbits.
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  title={K-theoretic quasimap invariants and their wall-crossing},
  author={Hsian-Hua Tseng, and Fenglong You},
Hsian-Hua Tseng, and Fenglong You. K-theoretic quasimap invariants and their wall-crossing. 2016. In arXiv. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180104232148543188867.
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