Integral Finite Surgeries on Knots in $S^3$

Liling Gu

Integral Finite Surgeries on Knots in $S^3$

Geometric Topology 2014-01-28 v1

Authors: Liling Gu

Abstract

Using the correction terms in Heegaard Floer homology, we prove that if a knot in $S^3$ admits a positive integral $\mathbf{T}$ -, $\mathbf{O}$ - or $\mathbf{I}$ -type surgery, it must have the same knot Floer homology as one of the knots given in our complete list, and the resulting manifold is orientation-preservingly homeomorphic to the $p$ -surgery on the corresponding knot.

Keywords

knot surgery heegaard floer homology correction terms integral surgery knot floer homology 3-manifolds s3

Cite

@article{arxiv.1401.6708,
  title  = {Integral Finite Surgeries on Knots in $S^3$},
  author = {Liling Gu},
  journal= {arXiv preprint arXiv:1401.6708},
  year   = {2014}
}

Comments

17 pages. arXiv admin note: text overlap with arXiv:1310.1346 by other authors

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