Turaev genus, knot signature, and the knot homology concordance invariants

Abstract

We give bounds on knot signature, the Ozsvath-Szabo tau invariant, and the Rasmussen s invariant in terms of the Turaev genus of the knot.

arXiv comment15 pages, 5 figures

References in corpus (9)

• Floer homology and knot complements
• Heegaard Floer homology and alternating knots
• The Jones polynomial and graphs on surfaces
• The support of the Khovanov's invariants for alternating knots
• Computable bounds for Rasmussen's concordance invariant
• Ozsvath-Szabo and Rasmussen invariants of cable knots
• On closed 3-braids with unknotting number one
• The Ozsv{á}th-Szab{ó} and Rasmussen concordance invariants are not equal
• The Khovanov width of twisted links and closed 3-braids