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Woodslane Online Catalogues

9781470453107 Academic Inspection Copy

Floer Cohomology and Flips

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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.
Francois Charest, Barnard College, Columbia University, New York City, NY. Chris T. Woodward, Rutgers University, Piscataway, NJ.
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