Abstract
A closed braid naturally gives rise to a transverse link in the standard contact –space. We study the effect of the dynamical properties of the monodromy of , such as right-veering, on the contact-topological properties of and the values of transverse invariants in Heegaard Floer and Khovanov homologies. Using grid diagrams and the structure of Dehornoy’s braid ordering, we show that is nonzero whenever has fractional Dehn twist coefficient . (For a –braid, we get a sharp result: if and only if the braid is right-veering.)
Citation
Olga Plamenevskaya. "Braid monodromy, orderings and transverse invariants." Algebr. Geom. Topol. 18 (6) 3691 - 3718, 2018. https://doi.org/10.2140/agt.2018.18.3691
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