Classifying Legendrian Cable Links of Negative Twist Knots

Time：Wed. 2:00-3:00 pm, Jan. 8, 2025

Venue：C548, Shuangqing Complex Building A

Organizer：Kenji Fukaya, Honghao Gao, Hang Yuan (BIMSA)

Speaker：Tom Rodewald

Symplectic Geometry Seminar

Organizers

Kenji Fukaya, Honghao Gao, Hang Yuan (BIMSA)

Speaker

Tom Rodewald (Georgia Tech)

Time

Wed. 2:00-3:00 pm, Jan. 8, 2025

Venue

C548, Shuangqing Complex Building A

Classifying Legendrian Cable Links of Negative Twist Knots

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.

About the speaker

I’m a PhD candidate in mathematics at Georgia Tech. My advisor is John Etnyre. I’m interested in symplectic and contact topology.

DATEJanuary 7, 2025

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