English

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

General Mathematics 2009-09-29 v2

Abstract

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.

Cite

@article{arxiv.0704.2388,
  title  = {L'indice de Maslov dans les $JB^*$-triples},
  author = {Stephane Merigon},
  journal= {arXiv preprint arXiv:0704.2388},
  year   = {2009}
}
R2 v1 2026-06-21T08:19:53.471Z