Maslov (P, ω)-Index Theory for Symplectic Paths

In this paper, the Maslov (P, ω)-index theory for a symplectic path is developed and the Bott-type iteration formula is proved.

Maslov-Type Index Theory For Symplectic Paths With Lagrangian Boundary Conditions

In this paper, we establish an index theory for symplectic paths starting from the identity with a Lagrangian boundary condition. We show that in some sense the index is the intersection number of a Lagrangian path generated by the symplectic path and a constant Lagrangian path. The various properties of this index theory are developed.