Gluing pseudoholomorphic quilted disks

Details Gluing pseudoholomorphic quilted disks Gluing pseudoholomorphic quilted disks

2009-09-17

arxiv.org/abs/0909.3339v1

Mathematics

Symplectic Geometry

69 pages, 14 figures

Scientific paper

We construct families of quilted surfaces parametrized by the multiplihedra, and define moduli spaces of pseudoholomorphic quilted disks using the theory of pseudoholomorphic quilts of Wehrheim and Woodward. We prove a gluing theorem for regular, isolated pseudoholomorphic quilted disks. This analytical result is a fundamental ingredient for the construction of A-infinity functors associated to Lagrangian correspondences.

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