This paper begins with a survey of some applications of Khovanov homology to low-dimensional topology, with an eye toward extending these results to sl(n) homologies. We extend Levine-Zemke’s ribbon concordance obstruction from Khovanov homology to…
The L-move for classical braids extends naturally to trivalent braids. We follow the L-move approach to the Markov theorem to prove a one-move Markov-type theorem for trivalent braids. We also reformulate this L-move Markov theorem and prove a more…