Spectral Flow and Maslov Index Arising from Lagrangian Intersections
Spectral Flow and Maslov Index Arising from Lagrangian Intersections
Let $P$ be a $2n$ -dimensional symplectic manifold with the symplectic structure $\omega$ , and $L,$ $L^{\prime}$ be two Lagrangian submanifolds of $P$ .We assume, in this paper, that $L$ and $L^{\prime}$ intersect transversally with a non-empty intersection, and a smooth map $f$ : $I\times I\rightarrow P$ , $I=[0,1]$ is …