Plumbers' knots

2008/11/13 by Chad Giusti, Giusti, Chad
Mathematics · #57M25 #57Q15 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #math.AT #math.GT #msc:57M25 #msc:57Q15

paper · pdf · doi:10.48550/arxiv.0811.2215

18 pages, 8 figures

arxiv created 2015/02/24 · arxiv updated 2015/02/25

Abstract

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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