English

A note on generalized Thurston--Bennequin inequalities

Geometric Topology 2022-07-04 v1 Differential Geometry Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.2207.00229,
  title  = {A note on generalized Thurston--Bennequin inequalities},
  author = {Nobuo Iida and Hokuto Konno and Masaki Taniguchi},
  journal= {arXiv preprint arXiv:2207.00229},
  year   = {2022}
}

Comments

7 pages

R2 v1 2026-06-24T12:10:44.214Z