2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53356It is shown that there is a generalization of the Conley-Zehnder index for periodic trajectories of a classical Hamiltonian system $(Q, ω, H)$ from the case $Q = T^*R^n$ to arbitrary symplectic manifolds. As it turns out, it is precisely this index which appears as a Maslov phase in the trace formulas by Gutzwiller and Duistermaat-Guillemin. Contribution presented at the XIX ICGTMP Salamanca June 92.5 pages, THEP 92/21High Energy Physics - Theorytext