2 papers
math.SG2026
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…
math.SG2024
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…