Session I.4 - Computational Geometry and Topology
Poster
Real Polarization via Bohr Sommerfeld Geometric Quantization for Quadrics
Som Sadashiv Phene
University of Michigan Ann Arbor, USA - This email address is being protected from spambots. You need JavaScript enabled to view it.
Following Miranda-Presas-Solha's sheaf cohomology approach to compute Geometric Quantization for almost toric manifolds, in particular K3 surfaces, we establish whether counting Bohr Sommerfeld leaves in the interior of polytope in the case of Quadrics gives the same result as Kahler Quantization. This forms an important model for Gelfand-Cetlin type flags studied by Guillemin-Sternberg.