### Legendrian knots and contact homology in R^3

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, February 12, 2024 - 00:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Lenhard Ng – Duke

This will be an introduction to Legendrian contact homology (LCH), a version of Floer homology that's important in contact topology, for the setting of Legendrian knots in R^3 with the standard contact structure. LCH is the homology of a differential graded algebra that can be defined combinatorially in terms of a diagram for the knot. We'll explore this combinatorial definition, with examples, and discuss some auxiliary invariants derived from LCH. No background about contact manifolds or Legendrian knots will be assumed.