English

A Bennequin-type inequality and combinatorial bounds

Geometric Topology 2023-11-14 v3

Abstract

In this paper we provide a new Bennequin-type inequality for the Rasmussen- Beliakova-Wehrli invariant, featuring the numerical transverse braid invariants (the c-invariants) introduced by the author. From the Bennequin type-inequality, and a combinatorial bound on the value of the c-invariants, we deduce a new computable bound on the Rasmussen invariant.

Keywords

Cite

@article{arxiv.1707.03424,
  title  = {A Bennequin-type inequality and combinatorial bounds},
  author = {Carlo Collari},
  journal= {arXiv preprint arXiv:1707.03424},
  year   = {2023}
}

Comments

24 pages, 5 figures and 2 tables. Minor revisions, title changed

R2 v1 2026-06-22T20:43:56.747Z