A Reidemeister-Singer Conjecture for Surface Diagrams

GEOMETRY/DYNAMICAL SYSTEMS
Topic:A Reidemeister-Singer Conjecture for Surface Diagrams
Speaker:Jonathan Williams
Affiliation:University of California, Berkeley
Date:Friday, December 3
Time/Room:4:00pm - 5:00pm/S-101
Video Link:https://video.ias.edu/geodyn/williams

There is a way to specify any smooth, closed oriented four-manifold using a surface decorated with simple closed curves, something I call a surface diagram. In this talk I will describe three moves on these objects, two of which are reminiscent of Heegaard diagrams for three-manifolds. These may form part of a uniqueness theorem for such diagrams that is likely to be useful for understanding Floer theories for non-symplectic four-manifolds.