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arxiv: 1212.2222 · v2 · pith:BYXCV4LJnew · submitted 2012-12-10 · 🧮 math.GT · math.QA· math.RT

Categorified invariants and the braid group

classification 🧮 math.GT math.QAmath.RT
keywords braidcategorifiedconjugacygrouphomologyinvariantsproblemclass
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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.

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