4-dimensional c-symplectic $S^1$-manifolds with non-empty fixed point set need not be c-Hamiltonian

• Autorzy: Akio Hattori
• Języki publikacji: EN

Abstrakty

EN

The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 45
• Numer: 1
• Strony: 91-93

Daty

wydano

1998

Twórcy

autor

Akio Hattori

• Department of Mathematics, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasaki-shi, 214 Japan

Bibliografia

• [A-B] M. F. Atiyah and R. Bott, The moment map and equivariant cohomology, Topology 23 (1984), 1-28.
• [G] D. Gottlieb, Lifting actions in fibrations, Lecture Notes in Math. Vol. 657 (1977), pp. 217-254.
• [H-Y] A. Hattori and T. Yoshida, Lifting compact group actions in fiber bundles, Japan. J. Math. 2 (1976), 13-25.
• [L-O] G. Lupton and J. Oprea, Cohomologically symplectic spaces: toral actions and the Gottlieb group, Trans. Amer. Math. Soc. 347 (1995), 261-288.
• [M] D. McDuff, The moment map for circle actions on symplectic manifolds, J. Geom. Phys. 5 (1988), 149-160.