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arxiv: 1109.3165 · v1 · pith:CNVDARUVnew · submitted 2011-09-14 · 🧮 math.GT

Smoothed Invariants

classification 🧮 math.GT
keywords invariantsflatinvariantconstructedknotknotsconjunctionconstruct
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We construct two knot invariants. The first knot invariant is a sum constructed using linking numbers. The second is an invariant of flat knots and is a formal sum of flat knots obtained by smoothing pairs of crossings. This invariant can be used in conjunction with other flat invariants, forming a family of invariants. Both invariants are constructed using the parity of a crossing.

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