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arxiv: 0901.2214 · v2 · submitted 2009-01-15 · 🧮 math.GT · math.CO

On Free Knots

classification 🧮 math.GT math.CO
keywords knotsmovesreidemeistersomeapplicationsclasseseasilyequivalence
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We prove that for some knot-like objects one can easily recognize non-equivalence w.r.t. all Reidemeister moves by studying some equivalence classes modulo only 2nd Reidemeister moves. There are applications to virtual knots, graph-links and looped graphs.

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