Skip to main content
Log in

Heegaard-Floer homology of a link with trivial component added

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

In this paper, we prove a theorem that allows one to evaluate the Heegaard-Floer homology of a link with trivial component added through the Heegaard-Floer homology of the initial link. Bibliography: 8 titles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. A. Baldwin and W. D. Gillam, “Computations of Heegaard-Floer knot homology,” Preprint, arXiv: math.GT/0610167.

  2. P. R. Cromwell, “Embedding knots and links in an open book. I. Basic properties,” Topology Appl., 64,No. 1, 37–58 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  3. I. Dynnikov, “Arc presentation of links: monotonic simplification,” Fund. Math., 190, 29–67 (2006); arXiv: math.GT/0208153.

    Article  MATH  MathSciNet  Google Scholar 

  4. C. Manolescu, P. S. Ozsvàth, and S. Sarkar, “A combinatorial description of knot Floer homology,” Preprint, arXiv:math.GT/0607691.

  5. C. Manolescu, P. S. Ozsvàth, Z. Szabò, and D. P. Thurston, “On combinatorial link Floer homology,” Preprint, arXiv:math.GT/0610559.

  6. P. S. Ozvàth and Z. Szabò, “Holomorphic disks and topological invariants for closed 3-manifolds,” Ann. Math. (2), 159,No. 3, 1027–1158 (2004); arXiv:math.SG/0101206.

    Google Scholar 

  7. P. S. Ozvàth and Z. Szabò, “Holomorphic discs and knot invariants,” Adv. Math., 186,No. 1, 58–116 (2004); arXiv:math.GT/0209056.

    Article  MathSciNet  Google Scholar 

  8. J. A. Rasmussen, “Floer homology and knot complement,” Ph. D. Thesis, Harvard University (2003); arXiv: math.GT/0306378.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. V. Karev.

Additional information

__________

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 344, 2007, pp. 37–55.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karev, M.V. Heegaard-Floer homology of a link with trivial component added. J Math Sci 147, 7145–7154 (2007). https://doi.org/10.1007/s10958-007-0536-0

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-007-0536-0

Keywords

Navigation