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Daniel Scofield, NC State, Patterns in Khovanov homology
August 23, 2017 | 4:30 pm - 5:30 pm EDT
Khovanov homology is a recent link invariant that lifts the Jones polynomial. We analyze torsion in Khovanov homology by describing a related homology theory that lifts the chromatic polynomial. In particular, we describe torsion in Khovanov homology of several link families and compute the fourth extreme coefficients of the Jones polynomial for certain links.