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Tsinghua-BIMSA Symplectic Geometry Seminar
Classifying Legendrian Cable Links of Negative Twist Knots
Classifying Legendrian Cable Links of Negative Twist Knots
Organizers
Speaker
Tom Rodewald
Time
Wednesday, January 8, 2025 2:00 PM - 3:00 PM
Venue
Shuangqing-C546
Online
Zoom 388 528 9728
(BIMSA)
Abstract
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.