深谷賢治 , 高鸿灏 , 袁航

Tom Rodewald

2025年01月08日 14:00 至 15:00

Shuangqing-C546

Zoom 388 528 9728 (BIMSA)

Dalton, Etnyre, and Traynor classified Legendrian cable links when the companion knot is both uniformly thick and Legendrian simple, and Etnyre, Min, and Chakraborty classified all cable knots of uniformly thick knots. Using convex surfaces, we build on these results to classify cable links of negative twist knots in $(R^3, \xi_{std})$ – which are uniformly thick, but not Legendrian simple. In particular, we will show that there are pairs of links that are componentwise isotopic, but not isotopic as links. These are the first examples showing this behavior. This is joint work with Chatterjee, Etnyre, and Min.