English

Topological Mirror Symmetry of Parabolic Hitchin Systems

Algebraic Geometry 2022-06-07 v1

Abstract

In this paper, we first prove the parabolic Beauvile-Narasimhan-Ramanan correspondence over an arbitrary field which generalizes the corresponding results over algebraically closed fields in [SWW22]. We use the correspondence and the p-adic integration methods developed by Groechenig- Wyss-Ziegler [GWZ20b] to prove the topological mirror symmetry for parabolic Hitchin systems on curves with arbitrary parabolic structures.

Keywords

Cite

@article{arxiv.2206.02527,
  title  = {Topological Mirror Symmetry of Parabolic Hitchin Systems},
  author = {Xiaoyu Su and Bin Wang and Xueqing Wen},
  journal= {arXiv preprint arXiv:2206.02527},
  year   = {2022}
}

Comments

Any comments are welcome