GLUING LOCALIZED MIRROR FUNCTORS

Cheol Hyun Cho, Hansol Hong, Siu Cheong Lau

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We develop a method of gluing the local mirrors and functors constructed from immersed Lagrangians in the same deformation class. As a result, we obtain a canonical mirror functor to the glued category. We apply the method to construct the mirrors of punctured Riemann surfaces and show that our functor derives homological mirror symmetry.

Original languageEnglish
Pages (from-to)1001-1095
Number of pages95
JournalJournal of Differential Geometry
Volume126
Issue number3
DOIs
Publication statusPublished - 2024 May

Bibliographical note

Publisher Copyright:
© 2024 International Press, Inc.. All rights reserved.

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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