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Speaker:

Allison Miller
Affiliation:

Rice University
Date:

Thu, 2019-09-19 10:30 - 10:55
Location:

MPIM Lecture Hall
Parent event:

Workshop on 4-manifolds, September 16 - 20, 2019 A knot is slice if it bounds an embedded disc in the 4-ball. There are (at least) two natural generalizations of sliceness: one might 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 that gives new evidence that these two approaches measure very different things. Our tools include Casson-Gordon style representations of knot groups, L2 signatures of 3-manifolds, and the notion of a minimal generating set for a module.

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