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Topological Mirror Symmetry of Parabolic Hitchin Systems

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arxiv 2206.02527 v1 pith:44EQSM3H submitted 2022-06-06 math.AG

Xiaoyu Su , Bin Wang , Xueqing Wen This is my paper · ORCID
classification math.AG
keywords parabolicarbitrarycorrespondencehitchinmirrorprovesymmetrysystems
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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.

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