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

Akio Hattori

Banach Center Publications (1998)

  • Volume: 45, Issue: 1, page 91-93
  • ISSN: 0137-6934

Abstract

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

How to cite

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Hattori, Akio. "4-dimensional c-symplectic $S^1$-manifolds with non-empty fixed point set need not be c-Hamiltonian." Banach Center Publications 45.1 (1998): 91-93. <http://eudml.org/doc/208914>.

@article{Hattori1998,
abstract = {The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".},
author = {Hattori, Akio},
journal = {Banach Center Publications},
keywords = {group action; fixed point set; symplectic 4-manifold; -Hamiltonian},
language = {eng},
number = {1},
pages = {91-93},
title = {4-dimensional c-symplectic $S^1$-manifolds with non-empty fixed point set need not be c-Hamiltonian},
url = {http://eudml.org/doc/208914},
volume = {45},
year = {1998},
}

TY - JOUR
AU - Hattori, Akio
TI - 4-dimensional c-symplectic $S^1$-manifolds with non-empty fixed point set need not be c-Hamiltonian
JO - Banach Center Publications
PY - 1998
VL - 45
IS - 1
SP - 91
EP - 93
AB - The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".
LA - eng
KW - group action; fixed point set; symplectic 4-manifold; -Hamiltonian
UR - http://eudml.org/doc/208914
ER -

References

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  1. [A-B] M. F. Atiyah and R. Bott, The moment map and equivariant cohomology, Topology 23 (1984), 1-28. Zbl0521.58025
  2. [G] D. Gottlieb, Lifting actions in fibrations, Lecture Notes in Math. Vol. 657 (1977), pp. 217-254. 
  3. [H-Y] A. Hattori and T. Yoshida, Lifting compact group actions in fiber bundles, Japan. J. Math. 2 (1976), 13-25. Zbl0346.57014
  4. [L-O] G. Lupton and J. Oprea, Cohomologically symplectic spaces: toral actions and the Gottlieb group, Trans. Amer. Math. Soc. 347 (1995), 261-288. Zbl0836.57019
  5. [M] D. McDuff, The moment map for circle actions on symplectic manifolds, J. Geom. Phys. 5 (1988), 149-160. Zbl0696.53023

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