Holomorphic Curve Invariants of Convex Hypersurfaces

Holomorphic Curve Invariants of Convex Hypersurfaces

Explore the contact topology of convex hypersurfaces through a comprehensive lecture by Russel Avdek from Uppsala Universitet. Delve into the study of convex hypersurfaces with dimensions greater than 2, focusing on a novel tool for analyzing their neighborhood topology. Examine the computation of sutured contact homology in terms of linearized invariants of positive and negative regions. Gain insights into the proof methodology, which combines Morse-Bott techniques, obstruction bundle gluing, and virtual perturbation approaches. Understand how this research extends beyond the well-established tools for studying 2-dimensional convex hypersurfaces governed by simple closed curves.