252 citations · 568 across the 25 of their papers we have counts for
28 papers
A Lie-Rinehart algebra in general relativity
Christian Blohmann, Michele Schiavina, Alan Weinstein
We construct a Lie-Rinehart algebra over an infinitesimal extension of the space of initial value fields for Einstein's equations. The bracket relations in this algebra are precise…
Symplectic Microgeometry IV: Quantization
Alberto S. Cattaneo, Benoit Dherin, Alan Weinstein
We construct a special class of semiclassical Fourier integral operators whose wave fronts are symplectic micromorphisms. These operators have very good properties: they form a cat…
(Co)isotropic triples and poset representations
Christian Herrmann, Jonathan Lorand, Alan Weinstein
We study triples of coisotropic or isotropic subspaces in symplectic vector spaces; in particular, we classify indecomposable structures of this kind. The classification depends on…
Hamiltonian Lie algebroids
Christian Blohmann, Alan Weinstein
In previous work with M.C. Fernandes, we found a Lie algebroid symmetry for the Einstein evolution equations of general relativity. The present work was motivated by the effort to…
Decomposition of (co)isotropic relations
Jonathan Lorand, Alan Weinstein
We identify thirteen isomorphism classes of indecomposable coisotropic relations between Poisson vector spaces and show that every coisotropic relation between finite-dimensional P…
Categories of (co)isotropic linear relations
Alan Weinstein
In categories of linear relations between finite dimensional vector spaces, composition is well-behaved only at pairs of relations satisfying transversality and monicity conditions…