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Award ID contains: 2104309

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  1. ; (, Journal of Knot Theory and Its Ramifications)
    In this paper, we observe that the hat version of the Heegaard Floer invariant of Legendrian knots in contact three-manifolds defined by Lisca-Ozsváth-Stipsicz-Szabó can be combinatorially computed. We rely on Plamenevskaya’s combinatorial description of the Heegaard Floer contact invariant. 
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  2. ; ; (, Mathematical Research Letters)
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  3. (, Proceedings of the American Mathematical Society)
    null (Ed.)
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  4. ; ; ; (, Geometry & Topology)
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  5. ; (, Michigan Mathematical Journal)
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  6. ; ; (, New York journal of mathematics)
    null (Ed.)
    The slice-Bennequin inequality gives an upper bound for the self-linking number of a knot in terms of its four-ball genus. The s-Bennequin and tau-Bennequin inequalities provide upper bounds on the self-linking number of a knot in terms of the Rasmussen s invariant and the Ozsváth-Szabó tau invariant. We exhibit examples in which the difference between self-linking number and four-ball genus grows arbitrarily large, whereas the s-Bennequin inequality and the tau-Bennequin inequality are both sharp. 
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