Categorified invariants and the braid group

Baldwin, John; Grigsby, J.

doi:10.1090/S0002-9939-2015-12482-3

Categorified invariants and the braid group
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by John A. Baldwin and J. Elisenda Grigsby PDF

Proc. Amer. Math. Soc. 143 (2015), 2801-2814 Request permission

Abstract:

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. In particular, our proof in the Khovanov case is completely combinatorial.

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