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• W3103025676 endingPage "2124" @default.
• W3103025676 startingPage "2081" @default.
• W3103025676 abstract "Given a transverse knot $K$ in a three dimensional contact manifold $(Y,alpha)$, in [13] Colin, Ghiggini, Honda and Hutchings define a hat version of embedded contact homology for $K$, that we call $widehat{ECK}(K,Y,alpha)$, and conjecture that it is isomorphic to the knot Floer homology $widehat{HFK}(K,Y)$. We define here a full version $ECK(K,Y,alpha)$ and generalise the definitions to the case of links. We prove then that, if $Y = S^3$, $ECK$ and $widehat{ECK}$ categorify the (multivariable) Alexander polynomial of knots and links, obtaining expressions analogue to that for knot and link Floer homologies in the plus and, respectively, hat versions." @default.
• W3103025676 created "2020-11-23" @default.
• W3103025676 creator A5075123496 @default.
• W3103025676 date "2017-08-03" @default.
• W3103025676 modified "2023-10-17" @default.
• W3103025676 title "A categorification of the Alexander polynomial in embedded contact homology" @default.
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• W3103025676 doi "https://doi.org/10.2140/agt.2017.17.2081" @default.
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