English

Pseudoholomorphic Quilts

Symplectic Geometry 2015-03-13 v3 Geometric Topology

Abstract

We define relative Floer theoretic invariants arising from 'quilted pseudo-holomorphic surfaces': Collections of pseudoholomorphic maps to various target spaces with 'seam conditions' in Lagrangian correspondences. As application we construct a morphism on quantum homology associated to any monotone Lagrangian correspondence.

Keywords

Cite

@article{arxiv.0905.1369,
  title  = {Pseudoholomorphic Quilts},
  author = {Katrin Wehrheim and Chris Woodward},
  journal= {arXiv preprint arXiv:0905.1369},
  year   = {2015}
}

Comments

minor corrections and updated references

R2 v1 2026-06-21T12:59:56.109Z