Multiplicities formula for geometric quantization, part II
Michele Vergne
Source: Duke Math. J. Volume 82, Number 1
(1996), 181-194.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077244843
Mathematical Reviews number (MathSciNet): MR1387225
Zentralblatt MATH identifier: 0855.58034
Digital Object Identifier: doi:10.1215/S0012-7094-96-08207-1
References
[1] M. F. Atiyah, Elliptic operators and compact groups, Springer-Verlag, Berlin, 1974.
Mathematical Reviews (MathSciNet): MR58:2910
Zentralblatt MATH: 0297.58009
[2] N. Berline and M. Vergne, L'indice équivariant des opérateurs transversalement elliptiques, to appear in Invent. Math.
[3] V. Guillemin, Reduced phase spaces and Riemann-Roch, Lie theory and geometry, Progr. Math., vol. 123, Birkhäuser Boston, Boston, MA, 1994, pp. 305–334.
Mathematical Reviews (MathSciNet): MR96m:58095
Zentralblatt MATH: 0869.58017
[4] V. Guillemin and S. Sternberg, Geometric quantization and multiplicities of group representations, Invent. Math. 67 (1982), no. 3, 515–538.
Mathematical Reviews (MathSciNet): MR83m:58040
Zentralblatt MATH: 0503.58018
Digital Object Identifier: doi:10.1007/BF01398934
[5] T. Kawasaki, The Riemann-Roch theorem for complex $V$-manifolds, Osaka J. Math. 16 (1979), no. 1, 151–159.
Mathematical Reviews (MathSciNet): MR80f:58042
Zentralblatt MATH: 0405.32010
Project Euclid: euclid.ojm/1200771835
[6] E. Meinrenken, On Riemann-Roch formulas for multiplicities, preprint.
Mathematical Reviews (MathSciNet): MR1325798
Zentralblatt MATH: 0851.53020
Digital Object Identifier: doi:10.1090/S0894-0347-96-00197-X
JSTOR: links.jstor.org
[7] M. Vergne, Quantification géométrique et multiplicités, C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), no. 4, 327–332.
Mathematical Reviews (MathSciNet): MR96d:58057
Zentralblatt MATH: 0814.58020
[8] M. Vergne, Multiplicities formula for geometric quantization. I, II, Duke Math. J. 82 (1996), no. 1, 143–179, 181–194.
Mathematical Reviews (MathSciNet): MR98e:58087
Zentralblatt MATH: 0855.58033
Digital Object Identifier: doi:10.1215/S0012-7094-96-08206-X
Project Euclid: euclid.dmj/1077244842
[9] M. Vergne, Equivariant index formulas for orbifolds, to appear in Duke Math. J. 82, 1995.
Mathematical Reviews (MathSciNet): MR1387687
Zentralblatt MATH: 0874.57029
Digital Object Identifier: doi:10.1215/S0012-7094-96-08226-5
Project Euclid: euclid.dmj/1077245255
[10] E. Witten, Two-dimensional gauge theories revisited, J. Geom. Phys. 9 (1992), no. 4, 303–368.
Mathematical Reviews (MathSciNet): MR93m:58017
Zentralblatt MATH: 0768.53042
Digital Object Identifier: doi:10.1016/0393-0440(92)90034-X
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