Abstract analogues of flux as symplectic invariants

2011/08/01 by Paul Seidel, Seidel, Paul · 1 citation
Mathematics · #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG

paper · pdf · doi:10.48550/arxiv.1108.0394

v2: minor changes

arxiv created 2014/01/10 · arxiv updated 2014/01/13

Abstract

We study families of objects in Fukaya categories, specifically ones whose deformation behaviour is prescribed by the choice of an odd degree cohomology class. This leads to invariants of symplectic manifolds, which we apply to blowups along symplectic mapping tori.

Cited by

• Splitting symplectic monodromy

Related

• Geometry of symplectic flux and Lagrangian torus fibrations
• Dynamical invariants of mapping torus categories
• Fukaya category on a symplectic manifold with a B-field
• Fukaya categories and deformations
• Equivariant Fukaya categories at singular values