A cobordism map for linearized Legendrian contact homology

Series
Geometry Topology Student Seminar
Time
Wednesday, September 10, 2025 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Tom Rodewald – Georgia Tech
Organizer
Alex Joshua Eldridge

In order to distinguish Legendrians with the same classical invariants, Chekanov and Eliashberg separately defined the Chekanov-Eliashberg DGA. Chekanov further defined a linearized version. Ekholm, Honda, and Kalman showed an exact Lagrangian cobordism between two Legendrians induces a DGA map on their respective DGAs. We show how to adapt this map to the linearized version. Time permitting, we will use this map to obstruct invertible concordances between negative twist knots. This is joint work with Sierra Knavel.