Knotted and linked products of recombination on T(2,n)#T(2,m) substrates

2013/11/21 by Erica Flapan, Flapan, Erica, Jeremy Grevet +7
Mathematics · #57M25 #92C40 #92E10 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25 #msc:92C40 #msc:92E10

paper · pdf · doi:10.48550/arxiv.1311.5456

19 pages, 25 figures

arxiv created 2013/11/21 · arxiv updated 2013/11/22

Abstract

We develop a topological model of site-specific recombination that applies to substrates which are the connected sum of two torus links of the form T(2,n)#T(2,m). Then we use our model to prove that all knots and links that can be produced by site-specific recombination on such substrates are contained in one of two families, which we illustrate.

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