Geometric composition in quilted Floer theory
arXiv:1003.4493
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.
32 pages, 4 figures. This version includes a Corrigendum (which was refereed and accepted at Advances in Mathematics)