Verlinde/ Grassmannian对应与秩2 $\delta$-墙跨越
代数几何
2019-07-23 v2
摘要
受Witten的工作(arXiv:hep-th/9312104)启发,我们提出Verlinde/Grassmannian对应,其将GL Verlinde数与Grassmannian的K理论拟映射不变量相联系。我们通过在与Grassmannian相关的规范线性sigma模型上施加不同的稳定性条件,重新得到这两类不变量。我们构造了连接两种理论的两种稳定性条件族,并证明了两个墙跨越结果。我们在秩二情形确认了Verlinde/Grassmannian对应。
引用
@article{arxiv.1811.01377,
title = {Verlinde/Grassmannian Correspondence and Rank 2 $\delta$-wall-crossing},
author = {Yongbin Ruan and Ming Zhang},
journal= {arXiv preprint arXiv:1811.01377},
year = {2019}
}
备注
v2: Added Section 6 on K-theoretic quasimap invariants with level structure and the $\delta=\infty$ to $\epsilon=0+$ wall-crossing; typos fixed; some references added