4-manifolds with inequivalent symplectic forms and 3-manifolds with inequivalent brations
نویسنده
چکیده
We exhibit a closed, simply connected 4-manifold X carrying two symplectic structures whose rst Chern classes in H 2 (X; Z) lie in dis-joint orbits of the diieomorphism group of X. Consequently, the mod-uli space of symplectic forms on X is disconnected.
منابع مشابه
4-manifolds with inequivalent symplectic forms and 3-manifolds with inequivalent fibrations
We exhibit a closed, simply connected 4-manifold X carrying two symplectic structures whose first Chern classes in H(X,Z) lie in disjoint orbits of the diffeomorphism group of X. Consequently, the moduli space of symplectic forms on X is disconnected. The example X is in turn based on a 3-manifold M . The symplectic structures on X come from a pair of fibrations π0, π1 : M → S whose Euler class...
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