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Friday, October 09, 2020
3:00 PM - 4:00 PM
Online Event

Geometry and Topology Seminar

Symmetric knots and the equivariant 4-ball genus
Ahmad Issa, Mathematics Department, University of British Columbia,

Given a knot K in the 3-sphere, the 4-genus of K is the minimal genus of an orientable surface embedded in the 4-ball with boundary K. If the knot K has a symmetry (e.g. K is periodic or strongly invertible), one can define the equivariant 4-genus by only minimising the genus over those surfaces in the 4-ball which respect the symmetry of the knot. I'll discuss some ongoing work with Keegan Boyle on trying to understanding the equivariant 4-genus.

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