nLab Alan Weinstein

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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]

On Poisson manifolds:

• Alan Weinstein, The local structure of Poisson manifolds, J. Differential Geom. 18 3 (1983) 523-557 [doi:10.4310/jdg/1214437787]

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]

• 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, MR1104934]

• Alan Weinstein, Tangential deformation quantization and polarized symplectic groupoids, in: Deformation theory and symplectic geometry (Ascona, 1996), 301-314, Kluwer (1997) [ISBN: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]

On geometric quantization:

• Sean Bates, Alan Weinstein, Lectures on the geometry of quantization, AMS (1997) [pdf]

On groupoids:

• Alan Weinstein, Groupoids: Unifying Internal and External Symmetry – A Tour through some Examples, Notices of the AMS 43 7 (1996) [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

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