Holomorphic quantization formula in singular reduction

Communications in Contemporary Mathematics

Volumn 1, Issue 3, 1999, Pages 281-293

  Zhang, Weiping ^a  

^a NANKAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22844454830     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199799000122     Document Type: Article

References (11)

1. J.-M. Bismut and G. Lebeau, Complex immersions and Quillen metrics Publ. Math. IHES. 74 (1991) 1-297.
2. M. Braverman, Cohomology of the Mumford quotient, preprint, math.SG/9809146.
3. V. Guillemin and S. Sternberg, Geometric quantization and multiplicities of group representations, Invent. Math. 67 (1982) 515-538.
4. B. Kostant, Quantization and unitary representations, in Modern Analysis and Applications. Lecture Notes in Math. Vol. 170, Springer-Verlag (1970), pp. 87-207.
5. D. Mcduff and D. Salamon, Introduction to Symplectic Topology, Clarendon Press, Oxford (1995).
6. E. Meinrenken and R. Sjamaar, Singular reduction and quantization, Topology, to appear.
7. C. Teleman, The quantization conjecture revisited, preprint, math.AG/9808029.
8. Y. Tian and W. Zhang, An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg, Invent. Math. 132 (1998) 229-259.
9. Y. Tian and W. Zhang, Holomorphic Morse inequalities in singular reduction, Math. Res. Lett. 5 (1998) 345-352.
10. S. Wu, A note on higher cohomology groups of Kahler quotients, preprint, math.SG/9809192.
11. S. Wu and W. Zhang, Equivariant holomorphic Morse inequalities III: Non-isolated fixed points, Geom. Funct. Anal. 8 (1998) 149-178.