# Bordered Floer homology for sutured manifolds

@article{Zarev2009BorderedFH, title={Bordered Floer homology for sutured manifolds}, author={Rumen Zarev}, journal={arXiv: Geometric Topology}, year={2009} }

We define a sutured cobordism category of surfaces with boundary and 3-manifolds with corners. In this category a sutured 3-manifold is regarded as a morphism from the empty surface to itself. In the process we define a new class of geometric objects, called bordered sutured manifolds, that generalize both sutured 3-manifolds and bordered 3-manifolds. We extend the definition of bordered Floer homology to these objects, giving a functor from a decorated version of the sutured category to A…

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## 49 Citations

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