JANECZKO S, MIKOSZ M,
On geometric properties of Lagrangian submanifolds in product symplectic spaces.
Hokkaido Mathematical Journal, 35 (2006) pp.215-227
We study the generic properties of symplectic relations. Local models of symplectic relations are described and the corresponding local symplectic invariants are derived. A stratification of the Lagrangian Grassmannian in the product symplectic space $(N\x M,\pi _M^*\w _M-\pi _N^*\w _N)$ is constructed and global homological properties of the strata are investigated.
|MSC(Secondary)||70H15, 57R45, 32S20|
|Uncontrolled Keywords||symplectic relation, Lagrangian Grassmannian, Maslov class|