Multiplicity-free Hamiltonian actions need not be Kähler

Inventiones Mathematicae

Volumn 131, Issue 2, 1998, Pages 311-319

  Woodward, Chris ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040163635     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050206     Document Type: Article

References (11)

1. M. F. Atiyah, Convexity and commuting hamiltonians, Bull. London Math. Soc. 14, 1-15 (1982)
2. T. Delzant, Hamiltoniens périodiques et images convexes de l'application moment, Bul. Soc. math. France 116, 315-339 (1988)
3. T. Delzant, Classification des actions hamiltoniennes complètement intégrables de rang deux, Ann. Global Anal. Geom. 8, No. 1 87-112 (1990)
4. V. Guillemin and S. Sternberg, The Gelfand-Cetlin system and quantization of the complex flag manifolds, Jour. Funct. Anal. 52, 106-128 (1983)
5. V. Guillemin and S. Sternberg, Symplectic Techniques in Physics, Cambridge University Press, Cambridge, (1984)
6. E. Lerman, Symplectic cuts, Math. Research Lett. 2, 247-258 (1995)
7. F. Knop, The Luna-Vust theory of spherical embeddings, in: Proceedings of the Hyderabad Conference on Algebraic Groups, December, 1989, Madras, Manoj Prakashan, 225-249 (1991)
8. V. Mathai, S. Wu, Equivariant holomorphic Morse inequalities, Trieste preprint, July (1995)
9. S. Tolman, Examples of non Kähler Hamiltonian torus actions, Inv. math 131, 299-310
10. C. Woodward, The classification of transversal multiplicity-free group actions, Ann. Global Anal. Geom. 14, 3-42 (1996)
11. C. Woodward, Spherical varieties and existence of invariant Kähler structure, to appear in Duke Math. Jour.