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Symmetric knots and the equivariant 4-ball genus


Speaker: Ahmad Issa, University of British Columbia
Location: Zoom
Start time: Tue, Apr 6 2021, 1:10PM

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 work with Keegan Boyle trying to understanding the equivariant 4-genus. I aim for this to be accessible to grad students!