On the kostant multiplicity formula for group actions with non-isolated fixed points

Advances in Mathematics

Volumn 123, Issue 1, 1996, Pages 1-15

  Canas Da Silva, A ^a   Guillemin, V ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030588023     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1996.0065     Document Type: Article

References (11)

1. [AS] M. Atiyah and G. Segal, The index of elliptic operators II, Ann. Math. 87 (1968), 531-545.
2. [CG] A. Canas da Silva and V. Guillemin, The Kostant multiplicity formula for orbifolds, (to appear).
3. [Ca] J. Cartier, On H. Weyl's character formula, Bull. Amer. Math. Soc. 67 (1961), 228-230.
4. c-Dirac operator, preprint, January 1995.
5. [DH] 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. Addendum 72 (1983), 153-158.
6. [DH] 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. Addendum 72 (1983), 153-158.
7. [GLS] V. Guillemin, E. Lerman, and S. Sternberg, On the Kostant multiplicity formula, J. Geom. Phys. 5 (1988), 721-750.
8. [GS] V. Guillemin and S. Sternberg, Geometric quantization and multiplicities of group representations, Invent. Math. 67 (1982), 515-538.
9. [He] S. Helgason, "Groups and Geometric Analysis," Academic Press, New York, 1984.
10. [Ka] T. Kawasaki, The Riemann-Roch theorem for complex V-manifolds, Osaka J. of Math. 16 (1979), 151-159.
11. [Ko] B. Kostant, A formula for the multiplicity of a weight, Trans. Amer. Math. Soc. 93 (1959), 53-73.