most citedState Cycles, Quasipositive Modification, and Constructing H-thick Knots in Khovanov Homology

8 citations · 11 across the 2 of their papers we have counts for

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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…