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Dr. Jessica Banks (Université du Québec a Montréal)

Thursday, February 06
4:00 PM
135 TMCB

Title: Knots, surfaces and 3-manifolds

Abstract: The study of 1- and 2-manifolds, and related objects, plays an important role within 3-manifold topology, both as tools and as objects of interest in their own right. Central to this is knot theory, which focuses on 1-manifolds within the 3-sphere. In this talk we will discuss some results in these familiar dimensions, including a relationship between the Alexander polynomial of a homogeneous link and its Seifert surfaces, and the Birman exact sequence for the mapping class group of a 3-manifold.