Symplectic geometry seminar

The theory of higher Reidemeister torsion yields characteristic classes of (stable) fiber bundles of smooth manifolds. We use this theory to define a new family of invariants for Legendrians in 1-jet spaces which we collectively call Legendrian...

In this talk, I will describe the global dynamics of the spatial isosceles three-body problem, using ideas from Embedded Contact Homology. For energies below the critical level, the flow admits a disk-like global surface of section bounded by the...

In Euclidean spaces, star-shaped domains (also known as Liouville domains) are fundamental objects in modern symplectic geometry. Several important subclasses have been introduced and studied, including dynamically convex domains, geometrically...