-
2
-
-
18144368468
-
Poisson sigma model over group manifolds
-
F. Bonechi and M. Zabzine, Poisson sigma model over group manifolds, J. Geom. Phys. 54 (2005), 173.
-
(2005)
J. Geom. Phys.
, vol.54
, pp. 173
-
-
Bonechi, F.1
Zabzine, M.2
-
3
-
-
85036723031
-
Lie algebroids, Lie groupoids and TFT
-
To appear
-
F. Bonechi and M. Zabzine, Lie algebroids, Lie groupoids and TFT, to appear in J. Geom. Phys.
-
J. Geom. Phys.
-
-
Bonechi, F.1
Zabzine, M.2
-
5
-
-
0003203316
-
Geometric models for noncommutative algebras
-
Amer. Math. Soc., Providence, RI; Berkeley Center for Pure and Applied Mathematics, Berkeley, CA, 184 pp
-
A. Cannas da Silva and A. Weinstein, Geometric models for noncommutative algebras, Berkeley Mathematics Lecture Notes, 10. Amer. Math. Soc., Providence, RI; Berkeley Center for Pure and Applied Mathematics, Berkeley, CA, 1999. xiv + 184 pp.
-
(1999)
Berkeley Mathematics Lecture Notes
, vol.10
, pp. 14
-
-
Cannas da Silva, A.1
Weinstein, A.2
-
6
-
-
3943062202
-
On the integration of Poisson manifolds, Lie algebroids, and coisotropic submanifolds
-
A. S. Cattaneo, On the integration of Poisson manifolds, Lie algebroids, and coisotropic submanifolds, Lett. Math. Phys. 67 (2004), 33-48.
-
(2004)
Lett. Math. Phys.
, vol.67
, pp. 33-48
-
-
Cattaneo, A.S.1
-
7
-
-
0034349089
-
A path integral approach to the Kontsevich quantization formula
-
A. S. Cattaneo and G. Felder, A path integral approach to the Kontsevich quantization formula, Commun. Math. Phys. 212 (2000), 591-611.
-
(2000)
Commun. Math. Phys.
, vol.212
, pp. 591-611
-
-
Cattaneo, A.S.1
Felder, G.2
-
8
-
-
0037909707
-
Poisson sigma models and symplectic groupoids, quantization of singular quotients
-
(eds. N. P. Landsman, M. Pflaum and M. Schlichenmeier)
-
A. S. Cattaneo and G. Felder, Poisson sigma models and symplectic groupoids, quantization of singular quotients, (eds. N. P. Landsman, M. Pflaum and M. Schlichenmeier), Progr. Math. 198 (2001), 41-73.
-
(2001)
Progr. Math.
, vol.198
, pp. 41-73
-
-
Cattaneo, A.S.1
Felder, G.2
-
9
-
-
22344441484
-
Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model
-
A. S. Cattaneo and G. Felder, Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model, Lett. Math. Phys. 69 (2004), 157-175.
-
(2004)
Lett. Math. Phys.
, vol.69
, pp. 157-175
-
-
Cattaneo, A.S.1
Felder, G.2
-
10
-
-
0038784426
-
Integrability of Lie brackets
-
M. Crainic and R. L. Fernandes, Integrability of Lie brackets, Ann. Math. 157 (2003), 575-620.
-
(2003)
Ann. Math.
, vol.157
, pp. 575-620
-
-
Crainic, M.1
Fernandes, R.L.2
-
12
-
-
0002060250
-
Quantised singularities in the electromagnetic field
-
P. A. M. Dirac, Quantised singularities in the electromagnetic field, Proc. Roy. Soc. Lond. A 133 (1931), 60.
-
(1931)
Proc. Roy. Soc. Lond. A
, vol.133
, pp. 60
-
-
Dirac, P.A.M.1
-
13
-
-
0000855801
-
Algebraic constructions in the category of Lie algebroids
-
P. J. Higgins and K. Mackenzie, Algebraic constructions in the category of Lie algebroids, J. Algebra. 129(1) (1990), 194-230.
-
(1990)
J. Algebra.
, vol.129
, Issue.1
, pp. 194-230
-
-
Higgins, P.J.1
Mackenzie, K.2
-
14
-
-
0000124884
-
Two-dimensional gravity and nonlinear gauge theory
-
N. Ikeda, Two-dimensional gravity and nonlinear gauge theory, Annals Phys. 235 (1994), 435.
-
(1994)
Annals Phys.
, vol.235
, pp. 435
-
-
Ikeda, N.1
-
15
-
-
79551538845
-
Elements of the theory of representations, Grundlehren der Mathematischen Wissenschaften
-
Springer-Verlag, Berlin, 315 pp
-
A. A. Kirillov, Elements of the theory of representations, Grundlehren der Mathematischen Wissenschaften, Band, 220, Springer-Verlag, Berlin, 1976, xi + 315 pp.
-
(1976)
Band
, vol.220
, pp. 9
-
-
Kirillov, A.A.1
-
16
-
-
3843152796
-
Deformation quantization of Poisson manifolds, I
-
M. Kontsevich, Deformation quantization of Poisson manifolds, I, Lett. Math. Phys. 66 (2003), 157.
-
(2003)
Lett. Math. Phys.
, vol.66
, pp. 157
-
-
Kontsevich, M.1
-
17
-
-
0002535842
-
Quantization and unitary representations. I. Prequantization
-
Lecture Notes in Math., Springer, Berlin
-
B. Kostant, Quantization and unitary representations. I. Prequantization. Lectures in modern analysis and applications, III, pp. 87-208. Lecture Notes in Math., 170, Springer, Berlin, 1970.
-
(1970)
Lectures in modern analysis and applications, III
, vol.170
, pp. 87-208
-
-
Kostant, B.1
-
18
-
-
0003276054
-
Lie groupoids and Lie algebroids in differential geometry
-
Cambridge University Press, Cambridge, 327 pp
-
K. Mackenzie, Lie groupoids and Lie algebroids in differential geometry, Lond. Math. Soc. Lect. Note Ser., 124, Cambridge University Press, Cambridge, 1987. xvi + 327 pp.
-
(1987)
Lond. Math. Soc. Lect. Note Ser.
, vol.124
, pp. 16
-
-
Mackenzie, K.1
-
19
-
-
4644308497
-
Introduction to foliations and Lie groupoids
-
Cambridge University Press, Cambridge, 173 pp
-
I. Moerdijk and J. Mřcun, Introduction to foliations and Lie groupoids, Cambridge Stud. Adv. Math., 91, Cambridge University Press, Cambridge, 2003. x + 173 pp.
-
(2003)
Cambridge Stud. Adv. Math.
, vol.91
, pp. 10
-
-
Moerdijk, I.1
Mřcun, J.2
-
20
-
-
0003085097
-
Poisson structure induced (topological) field theories
-
P. Schaller and T. Strobl, Poisson structure induced (topological) field theories, Mod. Phys. Lett. A 9 (1994), 3129.
-
(1994)
Mod. Phys. Lett. A
, vol.9
, pp. 3129
-
-
Schaller, P.1
Strobl, T.2
-
23
-
-
0000244873
-
Diffeomorphisms of the 2-sphere
-
S. Smale, Diffeomorphisms of the 2-sphere, Proc. Amer. Math. Soc., 10 (1959), 621.
-
(1959)
Proc. Amer. Math. Soc.
, vol.10
, pp. 621
-
-
Smale, S.1
-
24
-
-
0003570488
-
Structure des systémes dynamiques
-
Paris, 414 pp
-
J.-M. Souriau, Structure des systémes dynamiques, Maîtrises de mathématiques Dunod, Paris, 1970, xxxii + 414 pp.
-
(1970)
Maîtrises de mathématiques Dunod
, pp. 32
-
-
Souriau, J.-M.1
-
26
-
-
0000478916
-
On the geometric quantization of Poisson manifolds
-
I. Vaisman, On the geometric quantization of Poisson manifolds, J. Math. Phys. 32(12) (1991), 3339-3345.
-
(1991)
J. Math. Phys.
, vol.32
, Issue.12
, pp. 3339-3345
-
-
Vaisman, I.1
-
27
-
-
0003246009
-
Lectures on the geometry of Poisson manifolds
-
Birkḧauser Verlag, Basel, 205 pp
-
I. Vaisman, Lectures on the geometry of Poisson manifolds, Progr. Math., 118. Birkḧauser Verlag, Basel, 1994. viii + 205 pp.
-
(1994)
Progr. Math.
, vol.118
, pp. 8
-
-
Vaisman, I.1
-
28
-
-
0002057936
-
Noncommutative geometry and geometric quantization
-
(Aix-en-Provence, 1990), Progr. Math., Birkhäuser, Boston, MA
-
A. Weinstein, Noncommutative geometry and geometric quantization, in Symplectic geometry and mathematical physics (Aix-en-Provence, 1990), Progr. Math. 99, Birkhäuser, Boston, MA, 1991, 446-461.
-
(1991)
Symplectic geometry and mathematical physics
, vol.99
, pp. 446-461
-
-
Weinstein, A.1
-
29
-
-
84941395030
-
Extensions of symplectic groupoids and quantization
-
A. Weinstein and P. Xu, Extensions of symplectic groupoids and quantization, J. Reine Angew. Math. 417 (1991), 159-189.
-
(1991)
J. Reine Angew. Math.
, vol.417
, pp. 159-189
-
-
Weinstein, A.1
Xu, P.2
-
30
-
-
0003321240
-
Geometric quantization
-
Second edition, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York
-
N. Woodhouse, Geometric quantization, Second edition. Oxford Mathematical Monographs, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1992, xii + 307 pp.
-
(1992)
Oxford Mathematical Monographs
-
-
Woodhouse, N.1
|