Computable bounds for Rasmussen's concordance invariant

Lobb, Andrew

doi:10.1112/s0010437x10005117

Computable bounds for Rasmussen's concordance invariant

Lobb, Andrew

Authors

Professor Andrew Lobb andrew.lobb@durham.ac.uk
Professor

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.