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Mathematics > Symplectic Geometry
Title: Algebraically overtwisted tight $3$-manifolds from $+1$ surgeries
(Submitted on 29 Mar 2024)
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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