Symmetric knots and the equivariant 4-ball genus

Series
Geometry Topology Seminar
Time
Monday, February 1, 2021 - 2:00pm for 1 hour (actually 50 minutes)
Location
ONLINE
Speaker
Ahmad Issa – University of British Columbia – aissa@math.ubc.ca – https://www.math.ubc.ca/~aissa/
Organizer
Siddhi Krishna

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.