Homology three-spheres and surgery obstructions

Tye Lidman (University of Texas at Austin)

Monday 18th August, 2014 16:00-17:00 Maths 204


The Lickorish-Wallace theorem states that every closed, connected, orientable three-manifold can be expressed as surgery on a link in the three-sphere (i.e., remove a neighborhood of a disjoint union of embedded S1's from S3 and re-glue).  It is natural to ask which three-manifolds can be obtained by surgery on a single knot in the three-sphere.  We discuss a new way to obstruct integer homology spheres from being surgery on a knot and give some examples.  This is joint work with Jennifer Hom and Cagri Karakurt.

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