nLab Alan Weinstein (changes)

Showing changes from revision #4 to #5: Added | Removed | Changed

• website

Selected writings

On Lagrangian submanifolds in symplectic geometry:

• Alan Weinstein, Symplectic Manifolds and Their Lagrangian Submanifolds, Advances in Math. 6 (1971) 329346 [doi:10.1016/0001-8708(71)90020-X]

On symplectic geometry:

• Alan Weinstein, Symplectic geometry, Bulletin Amer. Math. Soc. 5 (1981) 1-13 [[doi:10.1090/S0273-0979-1981-14911-9](http://dx.doi.org/10.1090/S0273-0979-1981-14911-9)]

On Poisson manifolds:

• Alan Weinstein, The local structure of Poisson manifolds, J. Differential Geom. 18 3 (1983) 523-557 [[doi:10.4310/jdg/1214437787](https://projecteuclid.org/journals/journal-of-differential-geometry/volume-18/issue-3/The-local-structure-of-Poisson-manifolds/10.4310/jdg/1214437787.full)]

On geometric quantization via symplectic groupoids:

• Alan Weinstein, Symplectic groupoids and Poisson manifolds, Bull. Amer. Math. Soc. (N.S.) 16 (1987) 101-104 [[euclid:bams/1183553676](https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society-new-series/volume-16/issue-1/Symplectic-groupoids-and-Poisson-manifolds/bams/1183553676.full)]

• Alan Weinstein, Symplectic groupoids, geometric quantization, and irrational rotation algebras, in: Symplectic geometry, groupoids, and integrable systems (Berkeley, CA, 1989), Springer (1991) 281-290 [[doi:10.1007/978-1-4613-9719-9_19](https://doi.org/10.1007/978-1-4613-9719-9_19), MR1104934]

• Alan Weinstein, Tangential deformation quantization and polarized symplectic groupoids, in: Deformation theory and symplectic geometry (Ascona, 1996), 301-314, Kluwer (1997) [[ISBN:9780792345251](https://link.springer.com/book/9780792345251), MR1480730]

On formal deformation quantization:

• Alan Weinstein, Deformation quantization, Séminaire Bourbaki volume 1993/94, exposés 775-789, Astérisque, no. 227 (1995), Talk no. 789 [[numdam:SB_1993-1994__36__389_0](http://www.numdam.org/item/?id=SB_1993-1994__36__389_0)]

On geometric quantization:

• Sean Bates, Alan Weinstein, Lectures on the geometry of quantization, AMS (1997) [[pdf](http://www.math.berkeley.edu/~alanw/GofQ.pdf)]

On groupoids:

• Alan Weinstein, Groupoids: Unifying Internal and External Symmetry – A Tour through some Examples, Notices of the AMS 43 7 (1996) [[pdf](http://www.ams.org/notices/199607/weinstein.pdf), pdf]

Related entries

• symplectic geometry

  symplectic manifold, symplectic groupoid

• Lagrangian correspondence, canonical transformation

• symplectic category

• geometric quantization

• geometric quantization of symplectic groupoids

• n-symplectic manifold

• volume of a Lie groupoid