Computing Embedded Contact Homology in the Morse-Bott Setting Using Cascades

Computing Embedded Contact Homology in the Morse-Bott Setting Using Cascades

Explore embedded contact homology (ECH) computation in the Morse-Bott setting using cascades in this 1-hour 13-minute lecture from the Western Hemisphere Virtual Symplectic Seminar. Begin with an overview of ECH before delving into the Morse-Bott setting computation approach inspired by Bourgeois. Examine specific examples where this method is applicable, and conclude with an outline of the gluing results that enable ECH computation using cascades. Gain insights into advanced mathematical concepts and techniques in symplectic geometry and contact topology.