Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Maslov index in weak symplectic functional analysis   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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The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn