Floer cohomology and flips / François Charest, Chris T. Woodward.

Format:

Book

Author/Creator:

Charest, François, author.

Woodward, Chris T. (Christopher Thomas), author.

Series:

Memoirs of the American Mathematical Society ; no.1372.

Memoirs of the American Mathematical Society, 0065-9266 ; number 1372

Language:

English

Subjects (All):

Floer homology.

Algebra, Homological.

Algebraic topology.

Cohomology operations.

Physical Description:

v, 166 pages : illustrations ; 26 cm

Place of Publication:

Providence, RI : American Mathematical Society, 2022.

Summary:

"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"-- Provided by publisher.

Contents:

Symplectic flips

Lagrangians associated to flips

Fukaya algebras

Homotopy invariance

Fukaya bimodules

Broken Fukaya algebras

The break-up process.

Notes:

Includes bibliographical references.

Other Format:

Online version:

ISBN:

9781470453107

147045310X

OCLC:

1343654554