English

Geometric composition in quilted Floer theory

Symplectic Geometry 2016-10-18 v9

Abstract

We prove that Floer cohomology of cyclic Lagrangian correspondences is invariant under transverse and embedded composition of Lagrangians under a general set of assumptions. In the Corrigendum, we introduce an additional assumption of monotonicity for cylinders which is needed to avoid bubbling at the Y-end.

Keywords

Cite

@article{arxiv.1003.4493,
  title  = {Geometric composition in quilted Floer theory},
  author = {Yanki Lekili and Max Lipyanskiy},
  journal= {arXiv preprint arXiv:1003.4493},
  year   = {2016}
}

Comments

32 pages, 4 figures. This version includes a Corrigendum (which was refereed and accepted at Advances in Mathematics)

R2 v1 2026-06-21T15:01:28.966Z