Four-ball genus bounds and a refinement of the Ozsvath-Szabo tau-invariant

Abstract

Based on work of Rasmussen, we construct a concordance invariant associated to the knot Floer complex, and exhibit examples in which this invariant gives arbitrarily better bounds on the 4-ball genus than the Ozsvath-Szabo tau invariant.

16 pages, 6 figures

References in corpus (2)

• Floer homology and knot complements
• On the Khovanov and knot Floer homologies of quasi-alternating links

Cited by in corpus (1)

• On the Upsilon invariant of cable knots