• Corpus ID: 56012431

Bordered Floer homology for manifolds with torus boundary via immersed curves

  title={Bordered Floer homology for manifolds with torus boundary via immersed curves},
  author={Jonathan Hanselman and Jacob Rasmussen and Liam Watson},
  journal={arXiv: Geometric Topology},
This paper gives a geometric interpretation of bordered Heegaard Floer homology for manifolds with torus boundary. If $M$ is such a manifold, we show that the type D structure $\widehat{\mathit{CFD}}$ may be viewed as a set of immersed curves decorated with local systems in $\partial M$. These curves-with-decoration are invariants of the underlying three-manifold up to regular homotopy of the curves and isomorphism of the local systems. Given two such manifolds and a homeomorphism $h$ between… 
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