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We develop a topological model of site-specific recombination that applies tosubstrates 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 thatcan be produced by site-specific recombination on such substrates are containedin one of two families, which we illustrate.

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