The mondromy of the Lagrange Top and the Picard-Lefschetz formula

O. Vivolo (1)

1 LEP - Laboratoire Émile Picard

The purpose of this paper is to show that the monodromy of action variables of the Lagrange top and its generalizations can be deduced from the monodromy of cycles on a suitable hyperelliptic curve (computed by the Picard-Lefschetz formula).

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Systèmes dynamiques [math.DS]

O. Vivolo. The mondromy of the Lagrange Top and the Picard-Lefschetz formula. Journal of Geometry and Physics, 2003, 46, pp.99-124. ⟨hal-00021532⟩