1301.7248 (Bernhelm Booss-Bavnbek et al.)

The Maslov index in weak symplectic functional analysis    [PDF]

Bernhelm Booss-Bavnbek, Chaofeng Zhu

We recall the Chernoff-Marsden definition of weak symplectic structure and give a rigorous treatment of the functional analysis and geometry of weak symplectic Banach spaces. We define the Maslov index of a continuous path of Fredholm pairs of Lagrangian subspaces in continuously varying Banach spaces. We derive basic properties of this Maslov index and emphasize the new features appearing.

View original: http://arxiv.org/abs/1301.7248