An invariant for families of contact structures in monopole Floer homology

Geometry Topology Seminar
Monday, March 7, 2022 - 2:00pm for
Skiles 006
Juan Muñoz-Echániz – Columbia University –
Anubhav Mukherjee

The contact invariant, introduced by Kronheimer and Mrowka,
is an element in the monopole Floer homology of a 3-manifold which is
canonically attached to a contact structure. I will describe an
application of monopole Floer homology and the contact invariant to
study the topology of spaces of contact structures and
contactomorphisms on 3-manifolds. The main new tool is a version of
the contact invariant for families of contact structures.