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arxiv: 1401.1565 · v1 · pith:WWDHXJGJnew · submitted 2014-01-08 · 🧮 math.GT

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

classification 🧮 math.GT
keywords invariantboundsgenusozsvath-szaboarbitrarilyassociatedballbetter
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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.

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