OSU Mathematics Seminars and Colloquia
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Tue, Feb 25, 2020
Topology Seminar
3:30 PM
MSCS 509
Building censuses of links in lens spaces
Eric Towers, Oklahoma State
[Abstract] [PDF]
Abstract: The theory and automation of the exhaustive study of links (including knots) in $S^3$ is understood. Extending these methods to completely enumerate links in specified ambient spaces other than $S^3$ is less well understood. For any fixed lens space $L(p,q)$, we describe a method for producing all links with a prescribed complexity in the ambient $L(p,q)$. We demonstrate progress in software to automate the enumeration and feature extraction of lens space link complements and their fillings.
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