4 papers
Metaplectic-c prequantizations and the Einstein--Brillouin--Keller quantizability condition
Hyunmoon Kim
We show that every symplectic manifold admits a symplectic form whose metaplectic-c prequantizations give quantizability conditions on all its Lagrangian submanifolds. Metaplectic-…
A Morse-Bott unification of the Grassmannians of a symplectic vector space
Hyunmoon Kim
We construct a quadratic Morse-Bott function on the real Grassmannian of a symplectic vector space from a compatible linear complex structure. We show that its critical loci consis…
Simultaneous linear symplectic reduction and orbit fibrations
Hyunmoon Kim
We develop a correspondence between the orbits of the group of linear symplectomorphisms of a real finite dimensional symplectic vector space in the complex Lagrangian Grassmannian…
Schubert cells of mixed type in complex Lagrangian Grassmannians
Hyunmoon Kim
We describe CW decompositions of complex Lagrangian Grassmannians, that contain as subcomplexes, CW decompositions of real Lagrangian Grassmannians by Schubert-Arnol'd cells. The d…