Z-Disks in CP^2 - Enumeration and Boundary Knot Analysis

Explore the fascinating world of Z-disks in CP^2 through this 59-minute lecture by Irving Dai from the University of Texas, Austin, presented at the Banach Center. Delve into an explicit enumeration of locally flat Z-disks in CP^2 with boundary fixed to a knot K. Discover the intriguing result that when K has a quadratic Alexander polynomial, it bounds either 0, 1, 2, 4, or infinitely many Z-disks in CP^2, up to topological isotopy relative to the boundary. Gain insights into related problems in the smooth category as Dai shares findings from joint work with Anthony Conway and Maggie Miller.