Abstract
In this paper, we study the Khovanov homology of cable links. We first estimate the maximal homological degree term of the Khovanov homology of the –torus link and give a lower bound of its homological thickness. Specifically, we show that the homological thickness of the –torus link is greater than or equal to . Next, we study the maximal homological degree of the Khovanov homology of the –cabling of any knot with sufficiently large . Furthermore, we compute the maximal homological degree term of the Khovanov homology of such a link with even . As an application we compute the Khovanov homology and the Rasmussen invariant of a twisted Whitehead double of any knot with sufficiently many twists.
Citation
Keiji Tagami. "The maximal degree of the Khovanov homology of a cable link." Algebr. Geom. Topol. 13 (5) 2845 - 2896, 2013. https://doi.org/10.2140/agt.2013.13.2845
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