메뉴 건너뛰기




Volumn 52, Issue 4, 2000, Pages 847-868

Groupoids and the integration of lie algebroids

Author keywords

Groupoid; Groupoid differential; Lie algebroid; Manifold with corners; Non commutative geometry; Pseudodifferential operator

Indexed keywords


EID: 0034287957     PISSN: 00255645     EISSN: 18811167     Source Type: Journal    
DOI: 10.2969/jmsj/05240847     Document Type: Article
Times cited : (49)

References (23)
  • 1
    • 0002996252 scopus 로고
    • Suites d’Atiyah et feuilletages transversalement complets
    • R. Almeida and P. Molino, Suites d’Atiyah et feuilletages transversalement complets, C. R. Acad. Sci. Paris, 300 (1985), 13-15.
    • (1985) C. R. Acad. Sci. Paris , vol.300 , pp. 13-15
    • Almeida, R.1    Molino, P.2
  • 2
    • 4043153496 scopus 로고
    • Cyclic cohomology of etale groupoids
    • J.-L. Brylinski and V. Nistor, Cyclic cohomology of etale groupoids, K-Theory, 8 (1994), 341-365.
    • (1994) K-Theory , vol.8 , pp. 341-365
    • Brylinski, J.-L.1    Nistor, V.2
  • 3
    • 0002663143 scopus 로고
    • Sür la théorie non commutative de l’integration, Algèbres d’opérateurs
    • Springer Verlag
    • A. Connes, Sür la théorie non commutative de l’integration, Algèbres d’opérateurs, LNM 725, Springer Verlag, 19-143, 1979.
    • (1979) LNM , vol.725 , pp. 19-143
    • Connes, A.1
  • 4
    • 0002546810 scopus 로고
    • Cyclic cohomology and the transverse fundamental class of a foliation
    • (Kyoto 1983), Pitman Res. Notes in Math, Longman, Harlow
    • A. Connes, Cyclic cohomology and the transverse fundamental class of a foliation, Geometric methods in Operators Algebras, (Kyoto 1983), Pitman Res. Notes in Math., 123, Longman, Harlow, 1986.
    • (1986) Geometric Methods in Operators Algebras , vol.123
    • Connes, A.1
  • 5
    • 0001023880 scopus 로고    scopus 로고
    • Espaces fibrés en algèbres de Lie et en groupes
    • A. Douady and M. Lazard, Espaces fibrés en algèbres de Lie et en groupes, Invent. math., 1 (1996), 133-151.
    • (1996) Invent. Math , vol.1 , pp. 133-151
    • Douady, A.1    Lazard, M.2
  • 6
    • 21344462737 scopus 로고    scopus 로고
    • Bott’s vanishing theorem for regular Lie algebroids
    • J. Kubarski, Bott’s vanishing theorem for regular Lie algebroids, Trans. Amer. Math. Soc., 348 (1996), no. 6, 2151-2167.
    • (1996) Trans. Amer. Math. Soc , vol.348 , Issue.6 , pp. 2151-2167
    • Kubarski, J.1
  • 11
    • 0002768927 scopus 로고
    • Pseudodifferential operators, corners, and singular limits
    • R. B. Melrose, Pseudodifferential operators, corners, and singular limits, Proceedings of ICM 1990, 217-234, 1991.
    • (1991) Proceedings of ICM , vol.1990 , pp. 217-234
    • Melrose, R.B.1
  • 12
    • 0032221696 scopus 로고    scopus 로고
    • K-Theory of C*-algebras of b-pseudodifferential operators
    • R. Melrose, and V. Nistor, K-Theory of C*-algebras of b-pseudodifferential operators, Geom. Funct. Anal., 8 (1998), 99-122.
    • (1998) Geom. Funct. Anal , vol.8 , pp. 99-122
    • Melrose, R.1    Nistor, V.2
  • 14
    • 0002814203 scopus 로고    scopus 로고
    • Pseudodifferential operators on groupoids
    • V. Nistor, A. Weinstein, and Ping Xu, Pseudodifferential operators on groupoids, Pacific J. Math., 189 (1999), 117-152
    • (1999) Pacific J. Math , vol.189 , pp. 117-152
    • Nistor, V.1    Weinstein, A.2    Ping, X.3
  • 15
    • 0001434425 scopus 로고
    • Théorie de Lie par les groupoüdes différentiables
    • J. Pradines, Théorie de Lie par les groupoüdes différentiables, C. R. Acad. Sci. Paris, Série A, 267 (1968), 245-248.
    • (1968) C. R. Acad. Sci. Paris, Série A , vol.267 , pp. 245-248
    • Pradines, J.1
  • 16
    • 0001434427 scopus 로고
    • Troisième théorème de Lie pour les groupoüdes différentiables
    • J. Pradines, Troisième théorème de Lie pour les groupoüdes différentiables, C. R. Acad. Sci. Paris, Série A, 267 (1968), 21-23.
    • (1968) C. R. Acad. Sci. Paris, Série A , vol.267 , pp. 21-23
    • Pradines, J.1
  • 17
    • 0001770986 scopus 로고
    • A groupoid approach to C *-algebras
    • Springer, Berlin-Heidelberg-New York
    • J. Renault, A groupoid approach to C *-algebras, Lect. Notes in Math., vol. 793, Springer, Berlin-Heidelberg-New York, 1980.
    • (1980) Lect. Notes in Math , vol.793
    • Renault, J.1
  • 18
    • 84968483649 scopus 로고
    • Differential forms on general commutative algebras
    • G. S. Rinehart, Differential forms on general commutative algebras, Trans. Amer. Math. Soc., 108 (1963), 195-222.
    • (1963) Trans. Amer. Math. Soc , vol.108 , pp. 195-222
    • Rinehart, G.S.1
  • 19
    • 0001416519 scopus 로고
    • Rapport sur les S-atlas
    • W. T. van Est, Rapport sur les S-atlas, Asterisque, 116 (1984), 235-292.
    • (1984) Asterisque , vol.116 , pp. 235-292
    • Van Est, W.T.1
  • 20
    • 84972531238 scopus 로고
    • The local structure of Poisson manifolds
    • A. Weinstein, The local structure of Poisson manifolds, J. Differential Geom., 18 (1983), 523-557.
    • (1983) J. Differential Geom , vol.18 , pp. 523-557
    • Weinstein, A.1
  • 21
    • 0000137650 scopus 로고    scopus 로고
    • Groupoids: Unifying internal and external symmetry, Notices Amer
    • A. Weinstein, Groupoids: Unifying internal and external symmetry, Notices Amer. Math. Soc., 43 (1996), 744-752.
    • (1996) Math. Soc , vol.43 , pp. 744-752
    • Weinstein, A.1
  • 23
    • 33646610463 scopus 로고
    • Global gravitational anomalies, Comm
    • E. Witten, Global gravitational anomalies, Comm. Math. Phys., 100 (1985), 197-229.
    • (1985) Math. Phys , vol.100 , pp. 197-229
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.