• Corpus ID: 12840692

Fukaya categories of symmetric products and bordered Heegaard-Floer homology

@article{Auroux2010FukayaCO,
  title={Fukaya categories of symmetric products and bordered Heegaard-Floer homology},
  author={Denis Auroux},
  journal={arXiv: Geometric Topology},
  year={2010}
}
  • D. Auroux
  • Published 25 January 2010
  • Mathematics
  • arXiv: Geometric Topology
The main goal of this paper is to discuss a symplectic interpretation of Lipshitz, Ozsvath and Thurston's bordered Heegaard-Floer homology in terms of Fukaya categories of symmetric products and Lagrangian correspondences. More specifically, we give a description of the algebra A(F) which appears in the work of Lipshitz, Ozsvath and Thurston in terms of (partially wrapped) Floer homology for product Lagrangians in the symmetric product, and outline how bordered Heegaard-Floer homology itself… 
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