Department of Mathematics

Geometry and Topology

  •  Juan Muñoz-Echániz, Columbia University
  •  Families of contact structures and monopole Floer homology
  •  10/18/2022
  •  3:00 PM - 4:00 PM
  •  C304 Wells Hall (Virtual Meeting Link)
  •  Peter Kilgore Johnson (john8251@msu.edu)

The contact invariant, defined by Kronheimer and Mrowka, is an element in the monopole Floer homology of a 3-manifold canonically attached to a contact structure. I will discuss how the contact invariant places constraints on the topology of families of contact structures, and how it can be used to detect non-trivial contactomorphisms given by "Dehn twists" on spheres. The main new tool is a generalisation of the contact invariant to an invariant of families of contact structures.

 

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Michigan State University
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