Geometry and Topology Seminar

Series: Geometry and Topology Seminar Series

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.

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