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The Maslov index in weak symplectic functional analysis (1301.7248v1)
Published 30 Jan 2013 in math.DG, hep-th, math.FA, math.SG, and math.SP
Abstract: 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.
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