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arXiv · 2403.19982

Algebraically overtwisted tight $3$-manifolds from $+1$ surgeries

Youlin Li·Zhengyi Zhou
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Abstract

We execute Avdek's algorithm to find many algebraically overtwisted and tight $3$-manifolds by contact $+1$ surgeries. In particular, we show that a contact $1/k$ surgery on the standard contact $3$-sphere along any positive torus knot with the maximum Thurston-Bennequin invariant yields an algebraically overtwisted and tight $3$-manifold, where $k$ is a positive integer.

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BibTeXRIS

Youlin Li, Zhengyi Zhou. 2024-03-29. Algebraically overtwisted tight $3$-manifolds from $+1$ surgeries. https://arxiv.org/abs/2403.19982

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