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Department of Mathematics,
University of California San Diego

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Math 292 - Topology Seminar

Tye Lidman

North Carolina State University

Khovanov homology detects the figure-eight knot

Abstract:

Khovanov homology is a powerful invariant of knots which has many connections to other areas of mathematics, such as representation theory and gauge theory. However, it is strangely difficult to extract topological information from this invariant. After discussing this invariant, we will show that it is able to detect the figure-eight knot.

Host: Jianfeng Lin

January 14, 2020

9:00 AM

AP&M 7218

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