Non-symplectic smooth circle actions on symplectic manifolds
نویسندگان
چکیده
منابع مشابه
Free Circle Actions with Contractible Orbits on Symplectic Manifolds
We prove that closed symplectic four-manifolds do not admit any smooth free circle actions with contractible orbits, without assuming that the actions preserve the symplectic forms. In higher dimensions such actions by symplectomorphisms do exist, and we give explicit examples based on the constructions of [5].
متن کاملSemi-free Hamiltonian Circle Actions on 6 Dimensional Symplectic Manifolds
Assume (M,ω) is a connected, compact 6 dimensional symplectic manifold equipped with a semi-free Hamiltonian circle action, such that the fixed point set consists of isolated points or compact orientable surfaces. We restrict attention to the case dim H(M) < 3. We give a complete list of the possible manifolds, determine their equivariant cohomology ring and equivariant Chern classes. Some of t...
متن کاملSemifree Symplectic Circle Actions on 4-orbifolds
A theorem of Tolman and Weitsman states that all symplectic semifree circle actions with isolated fixed points on compact symplectic manifolds must be Hamiltonian and have the same equivariant cohomology and Chern classes of (CP 1)n equipped with the standard diagonal circle action. In this paper, we show that the situation is much different when we consider compact symplectic orbifolds. Focusi...
متن کاملNon-compact Symplectic Toric Manifolds
The paradigmatic result in symplectic toric geometry is the paper of Delzant that classifies compact connected symplectic manifolds with effective completely integrable torus actions, the so called (compact) symplectic toric manifolds. The moment map induces an embedding of the quotient of the manifold by the torus action into the dual of the Lie algebra of the torus; its image is a simple unim...
متن کاملOn the Construction of Certain 6-dimensional Symplectic Manifolds with Hamiltonian Circle Actions
Let (M, ω) be a connected, compact 6-dimensional symplectic manifold equipped with a semi-free Hamiltonian S action such that the fixed point set consists of isolated points or surfaces. Assume dim H(M) < 3, in [L], we defined a certain invariant of such spaces which consists of fixed point data and twist type, and we divided the possible values of these invariants into six “types”. In this pap...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematica Slovaca
سال: 2012
ISSN: 1337-2211,0139-9918
DOI: 10.2478/s12175-012-0029-6