A-infinity functors for Lagrangian correspondences

Abstract

We construct A-infinity functors between Fukaya categories associated to monotone Lagrangian correspondences between compact symplectic manifolds. We then show that the composition of A-infinity functors for correspondences is homotopic to the functor for the composition, in the case that the composition is smooth and embedded.

84 pages, 20 figures. To appear in Selecta Math

References in corpus (3)

• Orientations for pseudoholomorphic quilts
• Gluing pseudoholomorphic quilted disks
• Floer field theory for tangles

Cited by in corpus (6)

• Orientations for pseudoholomorphic quilts
• 2-associahedra
• Floer field theory for tangles
• Generating the Fukaya categories of Hamiltonian G-manifolds
• Fukaya algebras via stabilizing divisors
• Projective twists and the Hopf correspondence