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Obstructing k-Sliceness
Geometry/Topology| Speaker: | Qianhe Qin, Stanford University |
| Related Webpage: | https://sites.google.com/stanford.edu/qqhe |
| Location: | 2112 MSB |
| Start time: | Tue, Nov 12 2024, 2:10PM |
The slicing degree of a knot K is the smallest integer k such that K is k-slice (i.e., bounds a disk with self-intersection number -k) in #n(-CP)^2 for some n. In this talk, we establish bounds on the slicing degrees of knots using Rasmussen’s s-invariant, knot Floer homology, and singular instanton homology. Furthermore, we examine the use of k-RBG links as obstructions to k-sliceness in cases where these invariants for K are ineffective.