%0 Journal Article %T Geometric composition in quilted Floer theory %A Yanki Lekili %A Max Lipyanskiy %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1003.4493v7