Browsing by Author "Elliott, Andrew"

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    State cycles, quasipositive modification, and constructing H-thick knots in Khovanov homology
    (2010) Elliott, Andrew; Cochran, Tim D.
    We study Khovanov homology classes which have state cycle representatives, and examine how they interact with Jacobsson homomorphisms and Lee's map phi. As an application, we describe a general procedure, quasipositive modification, for constructing H-thick knots in rational Khovanov homology. Moreover, we show that specific families of such knots cannot be detected by Khovanov's thickness criteria. We also exhibit a sequence of prime links related by quasipositive modification whose width is increasing.