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arxiv: 0908.2745 · v2 · pith:JXTU7Y3Onew · submitted 2009-08-19 · 🧮 math.GT · math.QA

Computable bounds for Rasmussen's concordance invariant

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keywords boundscomputableconcordancediagramgiveninvariantrasmussenbennequin-type
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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.

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