Title: Diagrams for Three-Manifold Spines

Speaker: Joan Licata, Australia National University/ICERM

Date: Feb 22, 2022

Time: 3:00 PM

Link: https://zoom.us/j/94529451960?pwd=ekkxYUsrRGt5bVdEQWJRN0JOZ04wZz09

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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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Neil R. Hoffman

Assistant Professor

Department of Mathematics

523 Math Science Building

Oklahoma State University

Stillwater, OK 74078-1058

405-744-7791

http://math.okstate.edu/people/nhoffman