Vanishing of Hom-Wu Invariants for Strongly-Amphicheiral Knots and Satellite Knots

Date: 
Monday, 7 March, 2016 - 15:00 - 16:00
Venue: 
LSB 222
Seminar Type: 
Seminar
Speaker Name: 
Dr. Min Hoon KIM
Affiliation: 
School of Mathematics, Korea Institute for Advanced Study
Abstract: 

We prove that Hom-Wu invariants of strongly-amphicheiral knots vanish. The proof hinges on work of Kawauchi and Wu. Moreover, we present a large family of knots which the Hom-Wu invariants of arbitrary satellites do not detect sliceness generalizing work of Cha-Kim. This work is joint with Zhongtao Wu.

Poster: