On the Slicing Genus of Legendrian Knots
We apply Heegaard-Floer homology theory to establish generalized slicing Bennequin inequalities closely related to a recent result of T. Mrowka and Y. Rollin proved using Seiberg-Witten monopoles.
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arXiv subjects
Hao Wu
Publications and source records attributed to Hao Wu.
A New Way to Compute the Thurston-Bennequin Number
We establish a relation between several easy-to-calculate numerical invariants of generic knots in $\mathbb{H}^2 \times S^1$, and use it to give a new method of computing the Thurston-Bennequin number of Legendrian knots in the tight contact $\mathbb{R}^3$.
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Braids, Transversal links and the Khovanov-Rozansky Theory
We establish some inequalities about the Khovanov-Rozansky cohomologies of braids. These give new upper bounds of the self-linking numbers of transversal links in standard contact $S^3$ which is sharper than the well known bound given by the HOMFLY polynomial. We also introduce a sequence of transversal link invariants, and discuss some of their properties.
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Tight Contact Small Seifert Spaces with $e_0\neq0,-1,-2$
We classify up to isotopy the tight contact structures on small Seifert spaces with $e_0\neq0,-1,-2$. (The first version contains on the $e_0<-2$ case.)
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Legendrian Vertical Circles in Small Seifert Spaces
We discuss the relations between the $e_0$ invariants of a small Seifert space and the twisting numbers of Legendrian vertical circles in it.
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