Geometria em Lisboa Seminar   RSS

21/06/2019, 11:00 — 12:00 — Room P3.10, Mathematics BuildingInstituto Superior Técnico
Jo Nelson, Rice University

Equivariant and nonequivariant contact homology

I will explain how to make use of geometric methods to obtain three related flavors of contact homology, a Floer theoretic contact invariant. In particular, I will discuss joint work with Hutchings which constructs nonequivariant and a family floer equivariant version of contact homology. Both theories are generated by two copies of each Reeb orbit over $\mathbb{Z}$ and capture interesting torsion information. I will then explain how one can recover the original cylindrical theory proposed by Eliashberg-Givental-Hofer via our constructions.

Current organizer: Rosa Sena Dias