Floer Cohomology and Flips

François Charest, Chris T. Woodward

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We show that blow-ups or reverse flips (in the sense of the minimal model program) of rational symplectic manifolds with point centers create Floer-non-trivial Lagrangian tori. These results are part of a conjectural decomposition of the Fukaya category of a compact symplectic manifold with a singularity-free running of the minimal model program, analogous to the description of Bondal-Orlov (Derived categories of coherent sheaves, 2002) and Kawamata (Derived categories of toric varieties, 2006) of the bounded derived category of coherent sheaves on a compact complex manifold.

Original languageEnglish (US)
Article number1372
JournalMemoirs of the American Mathematical Society
Volume279
Issue number1375
DOIs
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics

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