Computable bounds for Rasmussen's concordance invariant

Lobb, Andrew

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.

Citation

Lobb, A. (2011). Computable bounds for Rasmussen's concordance invariant. Compositio Mathematica, 147(2), 661-668. https://doi.org/10.1112/s0010437x10005117

• Journal Article Type: Article
• Publication Date: Mar 1, 2011
• Deposit Date: Oct 18, 2011
• Publicly Available Date: Feb 4, 2014
• Journal: Compositio Mathematica
• Print ISSN: 0010-437X
• Electronic ISSN: 1570-5846
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• Volume: 147
• Issue: 2
• Pages: 661-668
• DOI: https://doi.org/10.1112/s0010437x10005117
• Keywords: Knots, Slice genus, Slice-bennequin.
• Public URL: https://durham-repository.worktribe.com/output/1503472