Integral Finite Surgeries on Knots in $S^3$

Liling Gu

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arXiv · 1401.6708

Integral Finite Surgeries on Knots in $S^3$

Liling Gu

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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.

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BibTeX RIS

Liling Gu. 2014-01-27. Integral Finite Surgeries on Knots in $S^3$. https://arxiv.org/abs/1401.6708

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