## Algebraic and Geometric Topology |

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2-cable links 3-manifold abelian Alexander polynomial associated baseleaf basepoint boundary branched surface Burau canonical chord diagram closed curve cobordism coloring commutes composition connected components construction contact structures corresponding crossings decomposition defined definition dendroidal set denote disk double points edges element enriched categories equivalent example fiber Figure finite index subgroup Floer foliation functor given Heegaard Heegaard diagram Hence HOMFLYPT polynomial homomorphism homotopy induced inner Kan complex integer interchange intersection graphs invariant isomorphism isotopy Jones polynomial Khovanov homology knot lamination Lemma lift loop manifold mapping class group Math matrix MCG(W monoidal structure morphisms Note obtained operad orientation pair permutation proof of Theorem Proposition prove pseudo-Anosov punctured Reidemeister torsion relations representation root of unity Section sequence simplicial sets singular space splitting strands Suppose surgery tangle tensor product topological torus twisted curve two-cell underlying braid universal covering V-Cat vertex vertices weight system Weyl algebra Whitehead move