Rice University

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Seminar

Mathematics

Speaker: Patrick Orson
UQAM

Topology Seminar: Concordance in 3-manifolds and satellites

Monday, March 20, 2017
4:00 PM  to 5:00 PM

427  Herman Brown Hall
Rice University
6100 Main St
Houston, Texas, USA

The knot cobordism group C of knots in the 3-sphere has long been an important object of study in low-dimensional topology. A less intensely studied problem is cobordism of knots in a general 3-manifold Y, perhaps due to a lack of an obvious algebraic structure in this general case. To impose some algebraic structure, one can consider the action of the group C on the set of knot cobordism classes in Y. I will discuss some recent work which makes substantial progress towards proving the orbit sets of this action are all infinite (except for two notable examples, which I will also describe).

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