Dehn surgery on complicated fibered knots in the 3-sphere

Abigail Thompson

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arXiv · 1604.04902

Dehn surgery on complicated fibered knots in the 3-sphere

Abigail Thompson

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Abstract

Let K be a fibered knot in the 3-sphere. We show that if the monodromy of K is sufficiently complicated, then Dehn surgery on K cannot yield a lens space. Work of Yi Ni shows that if K has a lens space surgery then it is fibered. Combining this with our result we see that if K has a lens space surgery then it is fibered and the monodromy is relatively simple.

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BibTeX RIS

Abigail Thompson. 2016-04-17. Dehn surgery on complicated fibered knots in the 3-sphere. https://arxiv.org/abs/1604.04902

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