L'indice de Maslov dans les $JB^*$-triples

Details L'indice de Maslov dans les $JB^*$-triples L'indice de Maslov dans les $JB^*$-triples

2007-04-18

arxiv.org/abs/0704.2388v2

Mathematics

General Mathematics

Scientific paper

We construct a homotopy invariant index for pathes in the set of invertible
tripotents in a JB*-triple that satisfy a Fredholm type condition with respect
to a fixed invertible tripotent. That index generalizes the Maslov index in the
Fredholm-Lagrangian of a symplectic Hilbert space.

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