PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
March 3, 20260 citations

Some examples of family Floer mirrors

YLYu-Shen LinBoston UniversityMCMan-Wai CheungKavli Institute for the Physics and Mathematics of the Universe

Key Points

  • Family Floer mirrors were explicitly calculated for specific non-compact Calabi-Yau surfaces, revealing intricate structures.
  • These calculations show a link between the family Floer mirrors and log Calabi-Yau pairs, particularly in rank two cluster varieties.
  • The study employs an analysis approach that relates analytifications to partial compactifications observed in earlier constructs.
  • Highlights significant connections between family Floer mirrors and established mirror constructions in algebraic geometry.

Abstract

In this article, we give explicit calculations for the family Floer mirrors of some non-compact Calabi- Yau surfaces. We compare it with the mirror construction of Gross-Hacking-Keel-Siebert for suitably chosen log Calabi-Yau pairs and the rank two cluster varieties of nite type. In particular, the analytifications of the later two give partial compactifications of the family Floer mirrors that we computed.

Ask AI
Helpful
Bookmark
Share

Cite This Study

Lin et al. (2022) studied this question.

synapsesocial.com/papers/69a75fdfc6e9836116a2c1d6
Ask AI
Helpful
Bookmark
Share