Obstructing Reducible Surgeries: Slice Genus and Thickness Bounds

Geometry Topology Seminar
Wednesday, November 16, 2022 - 3:00pm for 1 hour (actually 50 minutes)
University of Georgia (Boyd 322)
Robert DeYoso – University of Iowa – https://sites.google.com/ncsu.edu/rldeyeso
W. Bloomquist, A. Christian, C. Köse, M. Kuzbary, J. Simone, L. Tovstopyat-Nelip, H. Turner

We study reducible surgeries on knots in S^3, developing thickness bounds for L-space knots that admit reducible surgeries and lower bounds on the slice genus of general knots that admit reducible surgeries. The L-space knot thickness bounds allow us to finish off the verification of the Cabling Conjecture for thin knots. Our techniques involve the d-invariants and mapping cone formula from Heegaard Floer homology. This is joint work with Holt Bodish.