### Legendrian Large Cables

- Series
- Dissertation Defense
- Time
- Tuesday, April 9, 2019 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Andrew McCullough – Georgia Institute of Technology – andrew.mccullough@gatech.edu

We define the notion of a knot type having Legendrian large cables and

show that having this property implies that the knot type is not uniformly thick.

Moreover, there are solid tori in this knot type that do not thicken to a solid torus

with integer sloped boundary torus, and that exhibit new phenomena; specifically,

they have virtually overtwisted contact structures. We then show that there exists

an infinite family of ribbon knots that have Legendrian large cables. These knots fail

to be uniformly thick in several ways not previously seen. We also give a general

construction of ribbon knots, and show when they give similar such examples.