Surgery obstructions from Khovanov homology

Liam Watson

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arXiv · 0807.1341

Surgery obstructions from Khovanov homology

Liam Watson

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Abstract

For a 3-manifold with torus boundary admitting an appropriate involution, we show that Khovanov homology provides obstructions to certain exceptional Dehn fillings. For example, given a strongly invertible knot in S^3, we give obstructions to lens space surgeries, as well as obstructions to surgeries with finite fundamental group. These obstructions are based on homological width in Khovanov homology, and in the case of finite fundamental group depend on a calculation of the homological width for a family of Montesinos links.

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Liam Watson. 2008-07-09. Surgery obstructions from Khovanov homology. https://arxiv.org/abs/0807.1341

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