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Allison Miller, RLM 12.166: New lower bounds on the 4-genera of knots
Monday, March 11, 2019, 02:00pm - 03:00pm
A knot is slice if it bounds a embedded disc in the 4-ball. Thereare (at least) two natural generalizations of sliceness: onemight weaken either `disc' to `small genus surface' or `the 4-ball'to `any 4-manifold that is simple in some sense.' In this talk,I'll discuss joint work with Jae Choon Cha and Mark Powell thatgives new evidence that these two approaches measure very differentthings. Our tools include Casson-Gordon style representationsof knot groups, L2 signatures of 3-manifolds, and the notionof a minimal generating set for a module.
Location: RLM 12.166

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