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Caltech

Geometry and Topology Seminar

Friday, January 26, 2024
4:00pm to 5:00pm
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Linde Hall 187
Obstructing Knots from Being k-Slice
Qianhe Qin, Department of Mathematics, Stanford University,

A knot K in S^3 is k-slice in a 4-manifold X if it bounds a disk with self-intersection number -k in X removing the interior of a 4-ball. In this talk, we discuss how to obstruct a knot from being k-slice in nCP^2, using knot invariants from knot Floer homology and Khovanov homology. Moreover, we explore the use of k-RBG links to obstruct k-sliceness when these invariants for K are ineffective.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit https://sites.google.com/site/caltechgtseminar/home.