A note on generalized Thurston--Bennequin inequalities

Nobuo Iida; Hokuto Konno; Masaki Taniguchi

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arXiv · 2207.00229

A note on generalized Thurston--Bennequin inequalities

Nobuo Iida·Hokuto Konno·Masaki Taniguchi

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Abstract

We give a generalized Thurston--Bennequin-type inequality for links in $S^3$ using a Bauer--Furuta-type invariant for 4-manifolds with contact boundary. As a special case, we also give an adjunction inequality for smoothly embedded orientable surfaces with negative intersection in a closed oriented smooth 4-manifold whose non-equivariant Bauer--Furuta invariant is non-zero.

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Nobuo Iida, Hokuto Konno, Masaki Taniguchi. 2022-07-01. A note on generalized Thurston--Bennequin inequalities. https://arxiv.org/abs/2207.00229

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