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math.GTApr 1, 2002
25
citations (OpenAlex)
authors
  • Jacob Rasmussen
institutions
  • Harvard University
arXiv abstractPDF
paper

Floer homology of surgeries on two-bridge knots

arXiv:math/0204056 · doi:10.2140/agt.2002.2.757

Abstract

We compute the Ozsvath-Szabo Floer homologies HF^{+-} and HF-hat for three-manifolds obtained by integer surgery on a two-bridge knot.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-32.abs.html

Cited by in corpus (15)

  • Knot Floer homology and the four-ball genus
  • Heegaard Floer homology and alternating knots
  • Holomorphic disks and link invariants
  • Computations of the Ozsvath-Szabo knot concordance invariant
  • Knot Floer homology of Whitehead doubles
  • Product Formulae for Ozsvath-Szabo 4-manifold Invariants
  • Longitude Floer homology and the Whitehead double
  • On knot Floer homology and cabling
  • Computing Knot Floer Homology in Cyclic Branched Covers
  • A cube of resolutions for knot Floer homology
  • Knot Floer homology in cyclic branched covers
  • Heegaard Floer homology of surgeries on two-bridge links
  • Tangle Floer homology and cobordisms between tangles
  • Constrained knots in lens spaces
  • Bordered Floer Homology of (2,2n)-Torus Link Complement
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