John A. Baldwin, J. Elisenda Grigsby
Published 2012-12-10, updated 2013-07-26Version 2
We investigate two "categorified" braid conjugacy class invariants, one coming from Khovanov homology and the other from Heegaard Floer homology. We prove that each yields a solution to the word problem but not the conjugacy problem in the braid group.
Comments: 12 pages, 2 figures. Version 2 has a new, entirely combinatorial, proof that sutured annular Khovanov homology detects the trivial braid, involving a relationship between Plamenevskaya's invariant of transverse links and the Dehornoy order on the braid group
Numerical computation of braid groups
On Heegaard Floer homology and Seifert fibered surgeries
On the Heegaard Floer homology of S^3_{-p/q}(K)
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