Cosmetic Surgery in Integral Homology $L$-Spaces

Zhongtao Wu

doi:10.2140/gt.2011.15.1157

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arXiv · 0911.5333

Cosmetic Surgery in Integral Homology $L$-Spaces

Zhongtao Wu

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Abstract

Let $K$ be a non-trivial knot in $S^3$, and let $r$ and $r'$ be two distinct rational numbers of same sign, allowing $r$ to be infinite; we prove that there is no orientation-preserving homeomorphism between the manifolds $S^3_r(K)$ and $S^3_{r'}(K)$. We further generalize this uniqueness result to knots in arbitrary integral homology L-spaces.

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BibTeX RIS

Zhongtao Wu. 2009-11-27. Cosmetic Surgery in Integral Homology $L$-Spaces. https://doi.org/10.2140/gt.2011.15.1157

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