Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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KNOTTED AND LINKED PRODUCTS OF RECOMBINATION ON T (2, n)#T (2, m) SUBSTRATES

  • Flapan, Erica (Department of Mathematics Pomona College) ;
  • Grevet, Jeremy (Department of Mathematics Carleton College) ;
  • Li, Qi (Civil and Environmental Engineering Princeton University) ;
  • Sun, Chen Daisy (Department of Mathematics Carleton College) ;
  • Wong, Helen (Department of Mathematics Carleton College)
  • Received : 2013.11.21
  • Published : 2014.07.01
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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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References

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