메뉴 건너뛰기




Volumn 82, Issue 1, 1996, Pages 143-179

Multiplicities formula for geometric quantization, part I

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041048939     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-96-08206-X     Document Type: Article
Times cited : (52)

References (31)
  • 1
    • 0000542752 scopus 로고
    • A Lefschetz fixed-point formula for elliptic complexes: I
    • M. F. ATIYAH AND R. BOTT, A Lefschetz fixed-point formula for elliptic complexes: I, Ann. of Math. (2) 86 (1967), 374-407.
    • (1967) Ann. of Math. (2) , vol.86 , pp. 374-407
    • Atiyah, M.F.1    Bott, R.2
  • 2
    • 0001762648 scopus 로고
    • A Lefschetz fixed-point formula for elliptic complexes: II, applications
    • _, A Lefschetz fixed-point formula for elliptic complexes: II, Applications, Ann. of Math. (2) 88 (1968), 451-491.
    • (1968) Ann. of Math. (2) , vol.88 , pp. 451-491
  • 3
    • 0002351602 scopus 로고
    • Vector bundles and homogeneous spaces
    • Amer. Math. Soc., Providence
    • M. F. ATIYAH AND F. HIRZEBRUCH, Vector bundles and homogeneous spaces, Proc. Sympos. Pure Math. III, Amer. Math. Soc., Providence, 1961, 7-38.
    • (1961) Proc. Sympos. Pure Math. , vol.3 , pp. 7-38
    • Atiyah, M.F.1    Hirzebruch, F.2
  • 4
    • 0001579633 scopus 로고
    • The index of elliptic operators: II
    • M. F. ATIYAH AND G. B. SEGAL, The index of elliptic operators: II, Ann. of Math. (2) 87 (1968), 531-545.
    • (1968) Ann. of Math. (2) , vol.87 , pp. 531-545
    • Atiyah, M.F.1    Segal, G.B.2
  • 5
    • 0001579634 scopus 로고
    • The index of elliptic operators: I
    • M. F. ATIYAH AND I. M. SINGER, The index of elliptic operators: I, Ann. of Math. (2) 87 (1968), 484-530.
    • (1968) Ann. of Math. (2) , vol.87 , pp. 484-530
    • Atiyah, M.F.1    Singer, I.M.2
  • 6
    • 0001579635 scopus 로고
    • The index of elliptic operators: III
    • _, The index of elliptic operators: III, Ann. of Math. (2) 87 (1968), 546-604.
    • (1968) Ann. of Math. (2) , vol.87 , pp. 546-604
  • 8
    • 0000334608 scopus 로고
    • Classes caractéristiques équivariantes: Formules de localisation en cohomologie équivariante
    • N. BERLINE AND M. VERGNE, Classes caractéristiques équivariantes: formules de localisation en cohomologie équivariante, C. R. Acad. Sci. Paris Sér. I Math. 295 (1982), 539-541.
    • (1982) C. R. Acad. Sci. Paris Sér. I Math. , vol.295 , pp. 539-541
    • Berline, N.1    Vergne, M.2
  • 9
    • 0000589326 scopus 로고
    • The equivariant index and Kirillov's character formula
    • _, The equivariant index and Kirillov's character formula, Amer. J. Math. 107 (1985), 1159-1190.
    • (1985) Amer. J. Math. , vol.107 , pp. 1159-1190
  • 10
    • 0009367641 scopus 로고
    • The infinitesimal Lefschetz formulas: A heat equation proof
    • J.-M. BISMUT, The infinitesimal Lefschetz formulas: a heat equation proof, J. Funct. Anal. 62 (1985), 435-457.
    • (1985) J. Funct. Anal. , vol.62 , pp. 435-457
    • Bismut, J.-M.1
  • 11
    • 0001738262 scopus 로고
    • Equivariant cyclic homology and equivariant differential forms
    • J. BLOCK AND E. GETZLER, Equivariant cyclic homology and equivariant differential forms, Ann. Sci. Ecole Norm. Sup. (4) 27 (1994), 493-527.
    • (1994) Ann. Sci. Ecole Norm. Sup. (4) , vol.27 , pp. 493-527
    • Block, J.1    Getzler, E.2
  • 12
    • 34250229086 scopus 로고
    • On the variation in the cohomology of the symplectic form of the reduced phase space
    • J. J. DUISTERMAAT AND G. HECKMAN, On the variation in the cohomology of the symplectic form of the reduced phase space. Invent. Math. 69 (1982), 259-268.
    • (1982) Invent. Math. , vol.69 , pp. 259-268
    • Duistermaat, J.J.1    Heckman, G.2
  • 13
    • 0002710722 scopus 로고
    • Cohomologie équivariante et descente
    • M. DUFLO AND M. VERGNE, Cohomologie équivariante et descente, Astérisque 215 (1993), 5-108.
    • (1993) Astérisque , vol.215 , pp. 5-108
    • Duflo, M.1    Vergne, M.2
  • 14
    • 0000310436 scopus 로고
    • Reduced phase spaces and Riemann-Roch
    • Lie Theory and Geometry: In Honor of Bertram Kostant, Birkhäuser, Boston
    • V. GUILLEMIN, "Reduced phase spaces and Riemann-Roch" in Lie Theory and Geometry: In Honor of Bertram Kostant, Progr. Math. 123, Birkhäuser, Boston, 1994.
    • (1994) Progr. Math. , vol.123
    • Guillemin, V.1
  • 16
    • 38249017897 scopus 로고
    • Heckman, Kostant, and Steinberg formulas for symplectic manifolds
    • V. GUILLEMIN AND E. PRATO, Heckman, Kostant, and Steinberg formulas for symplectic manifolds, Adv. Math. 82 (1982), 160-179.
    • (1982) Adv. Math. , vol.82 , pp. 160-179
    • Guillemin, V.1    Prato, E.2
  • 17
    • 34250231714 scopus 로고
    • Geometric quantization and multiplicities of group representations
    • V. GUILLEMIN AND S. STERNBERG, Geometric quantization and multiplicities of group representations, Invent. Math. 67 (1982), 515-538.
    • (1982) Invent. Math. , vol.67 , pp. 515-538
    • Guillemin, V.1    Sternberg, S.2
  • 18
    • 0002201305 scopus 로고
    • Cohomology rings of symplectic quotients
    • J. KALKMAN, Cohomology rings of symplectic quotients, J. Reine Angew. Math. 458 (1995), 37-52.
    • (1995) J. Reine Angew. Math. , vol.458 , pp. 37-52
    • Kalkman, J.1
  • 19
    • 0344544526 scopus 로고
    • Localization for nonabelian group actions
    • L. C. JEFFREY AND F. C. KIRWAN, Localization for nonabelian group actions, Topology 34 (1995), 291-327.
    • (1995) Topology , vol.34 , pp. 291-327
    • Jeffrey, L.C.1    Kirwan, F.C.2
  • 21
    • 0002535842 scopus 로고
    • Quantization and unitary representations: I: Prequantization
    • Lectures in Modern Analysis and Applications, Springer-Verlag, Berlin
    • B. KOSTANT, "Quantization and unitary representations: I: Prequantization" in Lectures in Modern Analysis and Applications, Lecture Notes in Math. 170, Springer-Verlag, Berlin, 1970, 87-207.
    • (1970) Lecture Notes in Math , vol.170 , pp. 87-207
    • Kostant, B.1
  • 26
    • 0040821666 scopus 로고
    • Sur l'indice des opérateurs transversalement elliptiques
    • M. VERGNE, Sur l'indice des opérateurs transversalement elliptiques, C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), 329-332
    • (1990) C. R. Acad. Sci. Paris Sér. I Math. , vol.310 , pp. 329-332
    • Vergne, M.1
  • 27
    • 0041180163 scopus 로고
    • Geometric quantization and equivariant cohomology
    • First European Congress of Mathematics. Paris 1992, Birkhäuser, Boston
    • _, "Geometric quantization and equivariant cohomology" in First European Congress of Mathematics. Paris 1992, Progr. Math. 119 Birkhäuser, Boston, 1994, 167-215.
    • (1994) Progr. Math. , vol.119 , pp. 167-215
  • 28
    • 0039400901 scopus 로고    scopus 로고
    • A note on the Jeffrey-Kirwan-Witten localisation formula
    • to appear
    • _, A note on the Jeffrey-Kirwan-Witten localisation formula, to appear in Topology.
    • Topology
  • 29
    • 0000270777 scopus 로고
    • Quantification géométrique et multiplicités
    • _, Quantification géométrique et multiplicités, C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), 327-332.
    • (1994) C. R. Acad. Sci. Paris Sér. I Math. , vol.319 , pp. 327-332
  • 30
    • 0039270340 scopus 로고
    • Multiplicities formula for geometric quantization, part II
    • _, Multiplicities formula for geometric quantization, Part II, Duke Math. J. 82 (1995), 181-194.
    • (1995) Duke Math. J. , vol.82 , pp. 181-194
  • 31
    • 17144427930 scopus 로고
    • Two-dimensional gauge theories revisited
    • E. WITTEN, Two-dimensional gauge theories revisited, J. Geom. Phys. 9 (1992), 303-368.
    • (1992) J. Geom. Phys. , vol.9 , pp. 303-368
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.