Filling links in 3-manifolds

Mathematics

Audience: researchers in the topic

Comments: I will discuss the notion of filling links in 3-manifolds: a link is filling if any 1-spine of the 3-manifold, disjoint from the link, injects into the link complement on the level of the fundamental group. I will give a construction of links in the 3-torus which are filling modulo terms of the lower central series; the proof relies on a new extension of the Stallings theorem. I will also discuss the construction of Leininger and Reid of filling links and spines in 3-manifolds of rank 2, and formulate some open problems. (Joint work with Michael Freedman)

MIT Geometry and Topology Seminar

Series comments: Password is "topology".