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Volumn 215, Issue 2, 2000, Pages 409-432

Geometric quantization of vector bundles and the correspondence with deformation quantization

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EID: 0034349547     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200000308     Document Type: Article
Times cited : (32)

References (27)
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    • 2. Bordemann, M., Meinrenken, E., Schlichenmaier, M.: Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞ Limits. E-print: hep-th/9309134; Commun. Math. Phys. 165, 281-296 (1994)
    • (1994) Commun. Math. Phys. , vol.165 , pp. 281-296
  • 7
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    • A simple geometrical construction of deformation quantization
    • 6. Fedosov, B. V.: A simple geometrical construction of deformation quantization. J. Diff. Geom. 40 no. 2, 213-238 (1994)
    • (1994) J. Diff. Geom. , vol.40 , Issue.2 , pp. 213-238
    • Fedosov, B.V.1
  • 8
    • 0003339602 scopus 로고    scopus 로고
    • Deformation quantization and index theory
    • Berlin: Akademie Verlag
    • 7. Fedosov, B. V.: Deformation quantization and index theory. Math. Top., 9. Berlin: Akademie Verlag, 1996
    • (1996) Math. Top. , vol.9
    • Fedosov, B.V.1
  • 11
    • 0002165165 scopus 로고
    • Star products on compact pre-quantizable symplectic manifolds
    • 10. Guillemin, V.: Star Products on Compact Pre-quantizable Symplectic Manifolds. Lett. Math. Phys. 35, 85-89 (1995)
    • (1995) Lett. Math. Phys. , vol.35 , pp. 85-89
    • Guillemin, V.1
  • 13
    • 0033239501 scopus 로고    scopus 로고
    • 11. Hawkins, E.: Quantization of Equivariant Vector Bundles. E-print: q-alg/9708030; Commun. Math. Phys. 202, 517-546 (1999)
    • (1999) Commun. Math. Phys. , vol.202 , pp. 517-546
  • 18
    • 0032343605 scopus 로고    scopus 로고
    • 15. Landsman, N. P.: Strict Quantization of Coadjoint Orbits. E-print: math-ph/9807027; J. Math. Phys. 39, 6372 (1998)
    • (1998) J. Math. Phys. , vol.39 , pp. 6372
  • 20
    • 21844495985 scopus 로고
    • Algebraic index theorem
    • 17. Nest, R., Tsygan, B.: Algebraic Index Theorem. Commun. Math. Phys. 172 2, 223-262 (1995)
    • (1995) Commun. Math. Phys. , vol.172 , Issue.2 , pp. 223-262
    • Nest, R.1    Tsygan, B.2
  • 21
    • 0001813880 scopus 로고
    • Algebraic index theorem for families
    • 18. Nest, R., Tsygan, B.: Algebraic Index Theorem for Families. Adv. Math. 113 2, 151-205 (1995)
    • (1995) Adv. Math. , vol.113 , Issue.2 , pp. 151-205
    • Nest, R.1    Tsygan, B.2
  • 22
    • 1842554814 scopus 로고    scopus 로고
    • Formal versus analytic index theorems
    • 19. Nest, R., Tsygan, B.: Formal Versus Analytic Index Theorems. IMRN 11 (1996)
    • (1996) IMRN , vol.11
    • Nest, R.1    Tsygan, B.2
  • 24
    • 0010024004 scopus 로고
    • Quantization: Towards a comparison between methods
    • 21. Tuynman, G. M.: Quantization: Towards a Comparison Between Methods. J. Math. Phys. 28, 2829-2840 (1987)
    • (1987) J. Math. Phys. , vol.28 , pp. 2829-2840
    • Tuynman, G.M.1
  • 25
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    • Review of [17, 18]
    • 22. Rosenberg, J. M.: Review of [17, 18]. Math. Rev. 96j:58163a.
    • Math. Rev. , vol.96 J
    • Rosenberg, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.