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

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

doi:10.4134/JKMS.2014.51.4.817

Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2014; 51(4): 817-836

Printed July 1, 2014

https://doi.org/10.4134/JKMS.2014.51.4.817

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

Erica Flapan, Jeremy Grevet, Qi Li, Chen Daisy Sun, and Helen Wong

Pomona College, Carleton College, Princeton University, Carleton College, Carleton College

Abstract

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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.

Keywords: DNA topology, DNA knots, site-specific recombination

MSC numbers: 57M25, 92C40, 92E10