1 citations · 1 across the 1 of their papers we have counts for
3 papers
math-ph2009★ 1 cited
On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system
C. Bartocci, G. Falqui, I. Mencattini +2
We show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero-Moser system can be obtained by means of a double projection from a very simple Poisson p…
math.DG2003
Hyper-symplectic structures on integrable systems
C. Bartocci, I. Mencattini
We prove that an integrable system over a symplectic manifold, whose symplectic form is covariantly constant w.r.t. the Gauss-Manin connection, carries a natural hyper-symplectic s…
math.QA2003
Insertion and Elimination Lie Algebra: the Ladder case
Igor Mencattini, Dirk Kreimer
We prove that insertion-elimination Lie algebra of Feynman graphs, in the ladder case, has a natural interpretation in terms of a certain algebra of infinite dimensional matrices.…