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.
"On geometric properties of Lagrangian submanifolds in product symplectic spaces." Hokkaido Math. J. 35 (2) 215 - 227, May 2006. https://doi.org/10.14492/hokmj/1285766355