A note on generalized Thurston--Bennequin inequalities

preprint2022arXivOpen access

Abstract

We give a generalized Thurston--Bennequin-type inequality for links in S3S^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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