- Series
- Geometry Topology Seminar
- Time
- Monday, April 3, 2017 - 3:15pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Jo Nelson – Barnard College, Columbia University
- Organizer
- Caitlin Leverson
I will discuss joint work with Hutchings which gives a rigorousconstruction of cylindrical contact homology via geometric methods. Thistalk will highlight our use of non-equivariant constructions, automatictransversality, and obstruction bundle gluing. Together these yield anonequivariant homological contact invariant which is expected to beisomorphic to SH^+ under suitable assumptions. By making use of familyFloer theory we obtain an S^1-equivariant theory defined with coefficientsin Z, which when tensored with Q recovers the classical cylindrical contacthomology, now with the guarantee of well-definedness and invariance. Thisintegral lift of contact homology also contains interesting torsioninformation.