On geometric properties of Lagrangian submanifolds in product symplectic spaces (Q852456)

The authors construct a new stratification of the Lagrangian Grassmannian in a product linear symplectic space and investigate the generic properties of symplectic relations with respect to the canonical projections. They also compute the first homology group of the strata and find a cycle whose homology class is dual to the universal Maslov class of the Grassmannian \(\Lambda_{n+m}\).