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arxiv: 0811.2215 · v3 · pith:ODUA7WULnew · submitted 2008-11-13 · 🧮 math.AT · math.GT

Plumbers' knots

classification 🧮 math.AT math.GT
keywords knotsplumbersaddedcompletelycomplexityconstructdistinguishingedits
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We construct a new type of geometric knot theory, plumbers' knots, and solve the problems of distinguishing and enumerating such knots at a fixed level of complexity. (v2) Minor edits, added theorem 3.18. (v3) Substantial revisions, essentially completely rewritten in places.

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