An Obstruction to Quantization of the Sphere

Rieffel, Marc A.: C

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1988

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Rieffel, Marc A.: Deformation quantization of Heisenberg manifolds. Comm. Math. Phys. 122 (1989), no. 4, 531–562. MR1002830

1989

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Rieffel, Marc A.: Lie group convolution algebras as deformation quantizations of linear Poisson structures. Amer. J. Math. 112 (1990), no. 4, 657–685. MR1064995

1990

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Sheu, Albert Jeu-Liang: Quantization of the Poisson SU ⁡ ( 2 ) {\rm SU}(2) and its Poisson homogeneous space—the 2 2 -sphere. With an appendix by Jiang-Hua Lu and Alan Weinstein. Comm. Math. Phys. 135 (1991), no. 2, 217–232. MR1087382

1991

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Rieffel, Marc A.: Deformation quantization for actions of ℝ d \mathbb{R}^{d} . Mem. Amer. Math. Soc. 106 (1993), no. 506, x+93 pp. MR1184061

1993

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Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin: Toeplitz quantization of Kähler manifolds and gl ⁡ ( N ) {\rm gl}(N) , N → ∞ N\to\infty limits. Comm. Math. Phys. 165 (1994), no. 2, 281–296. MR1301849

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Xu, Ping: Noncommutative Poisson algebras. Amer. J. Math. 116 (1994), no. 1, 101–125. MR1262428

1994

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Weinstein, Alan: Deformation quantization. Séminaire Bourbaki, Vol. 1993/94. Astérisque No. 227 (1995), Exp. No. 789, 5, 389–409. MR1321655

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Fedosov, Boris: Deformation quantization and index theory. Mathematical Topics, 9. Akademie Verlag, Berlin, 1996. 325 pp. MR1376365

1996

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Klimek, Slawomir; Lesniewski, Andrzej: Quantum Riemann surfaces for arbitrary Planck’s constant. J. Math. Phys. 37 (1996), no. 5, 2157–2165. MR1385822

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Nest, Ryszard; Tsygan, Boris: Formal versus analytic index theorems. Internat. Math. Res. Notices 1996, no. 11, 557–564. MR1405974

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Hawkins, Eli: Geometric quantization of vector bundles and the correspondence with deformation quantization. arXiv:math/9808116 [math.QA], arXiv:math/9811049 [math.QA] Comm. Math. Phys. 215 (2000), no. 2, 409–432. MR1799853

2000

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Landsman, N. P. ; Ramazan, B.: Quantization of Poisson algebras associated to Lie algebroids. Groupoids in analysis, geometry, and physics (Boulder, CO, 1999), 159–192, Contemp. Math., 282, Amer. Math. Soc., Providence, RI, 2001. arXiv:math-ph/0001005 MR1855249

2001

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Kontsevich, Maxim: Deformation quantization of Poisson manifolds. Lett. Math. Phys. 66 (2003), no. 3, 157–216. arXiv:q-alg/9709040 MR2062626

2003

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Natsume, Toshikazu; Nest, Ryszard; Peter, Ingo: Strict quantizations of symplectic manifolds. Lett. Math. Phys. 66 (2003), no. 1-2, 73–89. MR2064593

2003

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