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math.GT2009★ 3 cited
Graphical methods establishing nontriviality of state cycle Khovanov homology classes
Andrew Elliott
We determine when certain state cycles represent nontrivial Khovanov homology classes by analyzing features of the state graph. Using this method, we are able to produce hyperbolic…
math.GT2009★ 8 cited
State Cycles, Quasipositive Modification, and Constructing H-thick Knots in Khovanov Homology
Andrew Elliott
We study Khovanov homology classes which have state cycle representatives, and examine how they interact with Jacobsson homomorphisms and Lee's map . As an application, we descr…