SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

International Mathematics Research Notices

Volumn , Issue 16, 2002, Pages 821-846

Semiclassical geometry of quantum line bundles and Morita equivalence of star products

(1) Bursztyn, Henrique a

a MATHEMATICAL SCIENCES RESEARCH INSTITUTE (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036373186 PISSN: 10737928 EISSN: None Source Type: Journal
DOI: 10.1155/s1073792802108014 Document Type: Article

Times cited : (24)

References (38)

1
- 0004263254
- Algebraic K-theory
- W. A. Benjamin, New York-Amsterdam
- (1968) Mathematics Lecture Note Series
- Bass, H.¹

2
- 33744769996
- Deformation theory and quantization. I. Deformations of symplectic structures
- (1978) Ann. Physics , vol.111 , Issue.1 , pp. 61-110
- Bayen, F.¹ Flato, M.² Frønsdal, C.³ Lichnerowicz, A.⁴ Sternheimer, D.⁵

3
- 34948832288
- Deformation theory and quantization. II. Physical applications
- (1978) Ann. Physics , vol.111 , Issue.1 , pp. 111-151

4
- 0007076159
- Equivalence of star products
- (1997) Classical Quantum Gravity , vol.14 , Issue.1 A
- Bertelson, M.¹ Cahen, M.² Gutt, S.³

5
- 0010266643
- Poisson vector bundles, contravariant connections and deformations
- Keio University, March
- (2001) Contribution to Proceedings of the Workshop on Noncommutative Geometry and String Theory (Japan)
- Bursztyn, H.¹

6

7
- 0001649891
- Deformation quantization of Hermitian vector bundles
- (2000) Lett. Math. Phys. , vol.53 , Issue.4 , pp. 349-365

8
- 0001761947
- Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization
- (2001) J. Geom. Phys. , vol.37 , Issue.4 , pp. 307-364

9
- 0035535901
- *-ideals and formal Morita equivalence of *-algebras
- (2001) Internat. J. Math. , vol.12 , Issue.5 , pp. 555-577

10
- 0003203316
- Geometric models for noncommutative algebras
- American Mathematical Society, Rhode Island
- (1999) Berkeley Mathematics Lecture Notes , vol.10
- Da Silva, A.C.¹ Weinstein, A.²

11
- 0041524804
- Noncommutative geometry and matrix theory: Compactification on tori
- Paper 3
- (1998) J. High Energy Phys. , Issue.2 , pp. 35
- Connes, A.¹ Douglas, M.R.² Schwarz, A.³

12
- 0000074913
- Déformations de l'algèbre des fonctions d'une variété symplectique: Comparaison entre Fedosov et De Wilde-Lecomte
- French
- (1995) Selecta Math. (N.S.) , vol.1 , Issue.4 , pp. 667-697
- Deligne, P.¹

13
- 0030551797
- Geometry of the transport equation in multicomponent WKB approximations
- (1996) Comm. Math. Phys. , vol.176 , Issue.3 , pp. 701-711
- Emmrich, C.¹ Weinstein, A.²

14
- 0003339602
- Deformation quantization and index theory
- Akademie Verlag, Berlin
- (1996) Mathematical Topics , vol.9
- Fedosov, B.¹

15
- 84972506966
- A simple geometrical construction of deformation quantization
- (1994) J. Differential Geom. , vol.40 , Issue.2 , pp. 213-238
- Fedosov, B.V.¹

16
- 0000470538
- Connections in Poisson geometry. I. Holonomy and invariants
- (2000) J. Differential Geom. , vol.54 , Issue.2 , pp. 303-365
- Fernandes, R.L.¹

17
- 0002442975
- On the deformation of rings and algebras
- (1964) Ann. of Math. (2) , vol.79 , pp. 59-103
- Gerstenhaber, M.¹

18
- 0002456318
- Algebraic cohomolegy and deformation theory
- Deformation Theory of Algebras and Structures and Applications, Kluwer Academic Publishers, Dordrecht
- (1988) Nato ASI Ser., Set. C , vol.247 , pp. 11-264
- Gerstenhaber, M.¹ Schack, S.D.²

19
- 0000449837
- Variations on deformation quantization
- Conférence Moshé Flato 1999: Quantization, Deformation, and Symmetries. Vol. I (Dijon) (G. Dito and D. Sternheimer, eds.), Kluwer Academic Publishers, Dordrecht
- (2000) Math. Phys. Stud. , vol.21 , pp. 217-254
- Gutt, S.¹

20
- 0033095716
- Equivalence of star products on a symplectic manifold; An introduction to Deligne's Čech cohomology classes
- (1999) J. Geom. Phys. , vol.29 , Issue.4 , pp. 347-392
- Gutt, S.¹ Rawnsley, J.²

21
- 0003860353
- Springer-Verlag, Berlin, translated from the German and Appendix One by R. L. E. Schwarzenberger. With a preface to the third English edition by the author and Schwarzenberger. Appendix Two by A. Borel. Reprint of the 1978 edition
- (1995) Topological Methods in Algebraic Geometry
- Hirzebruch, F.¹

22
- 0004336861
- Noncommutative line bundle and Morita equivalence
- Jurco, B.¹ Schupp, P.² Wess, J.³

23
- 0004338264
- QA/9709040
- Deformation Quantization of Poisson Manifolds, I
- Kontsevich, M.¹

24
- 0003363507
- Lectures on modules and rings
- Springer-Verlag, New York
- (1999) Graduate Texts in Mathematics , vol.189
- Lam, T.Y.¹

25
- 0038782482
- Quantized reduction as a tensor product
- Landsman, N.P.¹

26
- 0002783109
- Duality for modules and its applications to the theory of rings with minimum condition
- (1958) Sci. Rep. Tokyo Kyoiku Daigaku Sect. A , vol.6 , pp. 83-142
- Morita, K.¹

27
- 0001813880
- Algebraic index theorem for families
- (1995) Adv. Math. , vol.113 , Issue.2 , pp. 151-205
- Nest, R.¹ Tsygan, B.²

28
- 0001243954
- Classification of linear connections
- (1986) J. Math. Anal. Appl. , vol.118 , Issue.2 , pp. 547-560
- Porta, H.¹ Recht, L.²

29
- 0010246012
- Semiquantum geometry
- (1996) J. Math. Sci. , vol.82 , Issue.1 , pp. 3255-3267
- Reshetikhin, N.¹ Voronov, A.² Weinstein, A.³

30
- 0000052658
- Deformation quantization of Heisenberg manifolds
- (1989) Comm. Math. Phys. , vol.122 , Issue.4 , pp. 531-562
- Rieffel, M.A.¹

31
- 0033247662
- Morita equivalence of multidimensional noncommutative tori
- (1999) Internat. J. Math. , vol.10 , Issue.2 , pp. 289-299
- Rieffel, M.A.¹ Schwarz, A.²

32
- 0032583036
- Morita equivalence and duality
- (1998) Nuclear Phys. B , vol.534 , Issue.3 , pp. 720-738
- Schwarz, A.¹

33
- 0010287266
- Deformation quantization: Twenty years after
- Particles, Fields, and Gravitation (J. Rembielinski, ed.), American Institute of Physics, New York
- (1998) AIP Conf. Proc. , vol.453 , pp. 107-145
- Sternheimer, D.¹

34
- 0000478916
- On the geometric quantization of Poisson manifolds
- (1991) J. Math. Phys. , vol.32 , Issue.12 , pp. 3339-3345
- Vaisman, I.¹

35
- 0003568704
- Lectures on the geometry of poisson manifolds
- Birkhäuser Verlag, Basel
- (1994) Progress in Mathematics , vol.118

36
- 84968504663
- Intrinsic characterizations of some additive functors
- (1960) Proc. Amer. Math. Soc. , vol.11 , pp. 5-8
- Watts, C.E.¹

37
- 0000969654
- Deformation quantization
- (1995) Astérisque , Issue.227 , pp. 389-409
- Weinstein, A.¹

38
- 0001557267
- Hochschild cohomology and characteristic classes for star-products
- Geometry of Differential Equations (A. Khovanskij et al., ed.), American Mathematical Society, Rhode Island
- (1998) Transl., Ser. 2 , vol.186 , pp. 177-194
- Weinstein, A.¹ Xu, P.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.