On combinatorial link Floer homology

@article{Manolescu2007OnCL,
  title={On combinatorial link Floer homology},
  author={C. Manolescu and P. Ozsv'ath and Z. Szab{\'o} and D. Thurston},
  journal={Geometry & Topology},
  year={2007},
  volume={11},
  pages={2339-2412}
}
Link Floer homology is an invariant for links defined using a suitable version of Lagrangian Floer homology. In an earlier paper, this invariant was given a combinatorial description with mod 2 coefficients. In the present paper, we give a self-contained presentation of the basic properties of link Floer homology, including an elementary proof of its invariance. We also fix signs for the differentials, so that the theory is defined with integer coefficients. 
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References

SHOWING 1-10 OF 30 REFERENCES
Holomorphic disks and knot invariants
  • 657
  • PDF
Khovanov homology and the slice genus
  • 450
  • PDF
Knot Floer homology and the four-ball genus
  • 208
  • PDF
Floer homology and knot complements
  • 545
  • PDF
Holomorphic disks and topological invariants for closed three-manifolds
  • 289
...
1
2
3
...