90 citations · 234 across the 29 of their papers we have counts for
29 papers
Hamiltonian Lie algebroids over Poisson manifolds
Christian Blohmann, Stefano Ronchi, Alan Weinstein
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two of the authors for presymplectic manifolds. As in the presymplectic case, our de…
Plasma in monopole background is not twisted Poisson
Manuel Lainz, Cristina Sardon, Alan Weinstein
For a particle in the magnetic field of a cloud of monopoles, the naturally associated 2-form on phase space is not closed, and so the corresponding bracket operation on functions…
The Advanced LIGO Photon Calibrators
S. Karki, D. Tuyenbayev, S. Kandhasamy +24
The two interferometers of the Laser Interferometry Gravitaional-wave Observatory (LIGO) recently detected gravitational waves from the mergers of binary black hole systems. Accura…
The Maslov cycle as a Legendre singularity and projection of a wavefront set
Alan Weinstein
A Maslov cycle is a singular variety in the lagrangian grassmannian L(V) of a symplectic vector space V consisting of all lagrangian subspaces having nonzero intersection with a fi…
Symplectic Categories
Alan Weinstein
Quantization problems suggest that the category of symplectic manifolds and symplectomorphisms be augmented by the inclusion of canonical relations as morphisms. These relations co…
The volume of a differentiable stack
Alan Weinstein
We extend the notion of the cardinality of a discrete groupoid (equal to the Euler characteristic of the corresponding discrete orbifold) to the setting of Lie groupoids. Since thi…