71 citations · 234 across the 31 of their papers we have counts for
37 papers
Symplectic stability on manifolds with cylindrical ends
Sean Curry, Álvaro Pelayo, Xiudi Tang
A famous result of Jurgen Moser states that a symplectic form on a compact manifold cannot be deformed within its cohomology class to an inequivalent symplectic form. It is well kn…
Minimal models of compact symplectic semitoric manifolds
Daniel M. Kane, Joseph Palmer, Álvaro Pelayo
A symplectic semitoric manifold is a symplectic -manifold endowed with a Hamiltonian -action satisfying certain conditions. The goal of this paper is to…
Hamiltonian and symplectic symmetries: an introduction
Álvaro Pelayo
Classical mechanical systems are modeled by a symplectic manifold , and their symmetries, encoded in the action of a Lie group on by diffeomorphisms that preserves $…
Symplectic geometry and spectral properties of classical and quantum coupled angular momenta
Yohann Le Floch, Álvaro Pelayo
We give a detailed study of the symplectic geometry of a family of integrable systems obtained by coupling two angular momenta in a non trivial way. These systems depend on a param…
Moser stability for volume forms on noncompact fiber bundles
Álvaro Pelayo, Xiudi Tang
We prove a stability result for volume forms on fiber bundles with compact base and noncompact fibers. This generalizes the classical results of Moser and Greene--Shiohama, and rec…
Spectral asymptotics of semiclassical unitary operators
Yohann Le Floch, Alvaro Pelayo
This paper establishes an aspect of Bohr's correspondence principle, i.e. that quantum mechanics converges in the high frequency limit to classical mechanics, for commuting semicla…