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February 06, 2012
Monday, February 06
Geometry and Topology
Time: 15:30
Speaker: Robin Koytcheff (Brown)
Title: "A colored operad for infection of links"
Room: MC 107

Abstract: Ryan Budney recently constructed an operad that encodes splicing of knots and extends his little 2-cubes action on the space of (long) knots. He further showed that the space of knots is freely generated over the splicing operad by the subspace of torus and hyperbolic knots. Infection of knots (or links) by string links is a generalization of splicing from knots to links and is useful for studying concordance of knots. In joint work with John Burke, we construct a colored operad that encodes this infection operation.