English

Computable bounds for Rasmussen's concordance invariant

Geometric Topology 2012-12-12 v2 Quantum Algebra

Abstract

Given a diagram D of a knot K, we give easily computable bounds for Rasmussen's concordance invariant s(K). The bounds are not independent of the diagram D chosen, but we show that for diagrams satisfying a given condition the bounds are tight. As a corollary we improve on previously known Bennequin-type bounds on the slice genus.

Keywords

Cite

@article{arxiv.0908.2745,
  title  = {Computable bounds for Rasmussen's concordance invariant},
  author = {Andrew Lobb},
  journal= {arXiv preprint arXiv:0908.2745},
  year   = {2012}
}

Comments

8 pages, 1 figure. A rewrite. New results and references added, main results unchanged

R2 v1 2026-06-21T13:36:58.434Z