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arxiv: 1806.06435 · v2 · pith:EF4ZVUNPnew · submitted 2018-06-17 · 🧮 math.GT

Invariants for trivalent tangles and handlebody-tangles

classification 🧮 math.GT
keywords trivalentenhancedinvariantstangleshandlebody-tanglestangleclassicalconstructing
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An enhanced trivalent tangle is a trivalent tangle with some of its edges labeled. We use enhanced trivalent tangles and classical knot theory to provide a recipe for constructing invariants for trivalent tangles, and in particular, for knotted trivalent graphs. Our method also yields invariants of, what we refer to as, enhanced handlebody-tangles and enhanced handlebody-links.

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