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

By Jennifer Hom, Zhongtao Wu. 2014

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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.

Subfields: Geometry and Topology, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/81235105696b6789b0673596162a1b7b9bf8b186