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

Erica Flapan; Jeremy Grevet; Qi Li; Chen Sun; Helen Wong

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arXiv · 1311.5456

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

Erica Flapan·Jeremy Grevet·Qi Li·Chen Sun·Helen Wong

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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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BibTeX RIS

Erica Flapan, Jeremy Grevet, Qi Li, Chen Sun, Helen Wong. 2013-11-21. Knotted and linked products of recombination on $T(2,n)\#T(2,m)$ substrates. https://arxiv.org/abs/1311.5456

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