# Equivariant and nonequivariant contact homology

## Location

Math 383-N

Monday, March 2, 2020 4:00 PM

Jo Nelson (Rice University)

I will discuss joint work with Hutchings which constructs nonequivariant anda family Floer equivariant version of contact homology. Both theories are generatedby two copies of each Reeb orbit over Z and capture interesting torsion information.We will see an obstruction bundle gluing correction term appear in the expression ofthe differential. I will then explain how one can recover the original cylindrical theoryproposed by Eliashberg-Givental-Hofer via our constructions.