Gluing pseudoholomorphic quilted disks
Symplectic Geometry
2009-09-21 v1
Abstract
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.
Cite
@article{arxiv.0909.3339,
title = {Gluing pseudoholomorphic quilted disks},
author = {Sikimeti Ma'u},
journal= {arXiv preprint arXiv:0909.3339},
year = {2009}
}
Comments
69 pages, 14 figures