251 citations
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math.GT2013★ 3 cited
A colored operad for string link infection
John Burke, Robin Koytcheff
Budney recently constructed an operad that encodes splicing of knots. He further showed that the space of (long) knots is generated over this operad by the space of torus knots and…
math.GT2013
A prime decomposition theorem for the 2-string link monoid
Ryan Blair, John Burke, Robin Koytcheff
In this paper we use 3-manifold techniques to illuminate the structure of the string link monoid. In particular, we give a prime decomposition theorem for string links on two compo…