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IF 0.8 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2024-12-17 DOI:10.1112/blms.13211

Youlin Li, Zhengyi Zhou

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引用次数: 0

摘要

我们采用阿夫德克算法，通过接触 + 1 $+1$ 手术找到了许多代数上超扭曲和紧密的 3-manifold。特别是，我们证明了在标准接触 3 球上沿任何具有最大瑟斯顿-贝内金不变式的 Legendrian 正环结进行接触 1 / k $1/k$手术会产生一个代数上超扭曲和紧密的 3-manifold，其中 k $k$ 是一个正整数。

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

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 Legendrian positive torus knot with the maximal Thurston–Bennequin invariant yields an algebraically overtwisted and tight 3-manifold, where $k$ is a positive integer.