OSU Mathematics Seminars and Colloquia
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Tue, Feb 22, 2022
Topology Seminar
3:00 PM
Virtual
Diagrams for Three-Manifold Spines
Joan Licata, Australia National University/ICERM
Host: Neil Hoffman
Contact Neil Hoffman for seminar link.
[Abstract] [PDF]
Abstract: To study knots in $R^3$, it's natural to analyse the combinatorics of their projections to some plane. To generalise this to arbitrary three-manifolds, one can consider projections to spines, two-complexes which play an important role in computational topology. In addition to describing some results about spine projections of isotopic links, I'll explain a connection to an open result about shadows of four-manifolds. The work I'll describe is joint with Brand, Burton, Dancso, He, and Jackson.
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