Restrictions on symplectic fibrations
نویسندگان
چکیده
منابع مشابه
Wrinkled Fibrations on Near-Symplectic Manifolds
Motivated by the programmes initiated by Taubes and Perutz, we study the geometry of near-symplectic 4-manifolds and broken Lefschetz fibrations on them. We present a set of four moves which allow us to pass from any given fibration to any other broken fibration which is deformation equivalent to it. The arguments rely on the introduction of a more general class of maps, which we call wrinkled ...
متن کاملSymplectic Lefschetz Fibrations on S ×m
A remarkable theorem of Donaldson [D] says that a symplectic 4manifold admits a Lefschetz pencil by symplectic surfaces. Given a Lefschetz pencil on a 4-manifold X, one can blow up points at the base locus to get a Lefschetz fibration of X over S, which admits a nice handlebody decomposition and can be described by geometric monodromy representation into the mapping class group of a regular fib...
متن کاملTorus fibrations on symplectic four-manifolds
This paper comprises two parts: both are concerned with the symplectic geometry of four-manifolds fibred by tori. The first part concerns the topological constraints placed on a closed four-manifold by the existence of an integrable system; the second seeks to understand a particular class of Lefschetz pencils. In the first half, we narrow ourselves to quadratic singularities by virtue of the g...
متن کاملLefschetz Fibrations in Symplectic Geometry
One of the cornerstones of complex geometry is the link between positivity of curvature and ampleness. Let X be a compact complex manifold and L ! X be a holomorphic line bundle over X. Suppose that L has a unitary connection whose curvature form is ?2i! where ! is a positive (1; 1)-form on X. Then for large k the line bundle L k has many holomorphic sections. More precisely, the holo-morphic s...
متن کاملLefschetz Fibrations and Symplectic Homology
We show that for each k > 3 there are infinitely many finite type Stein manifolds diffeomorphic to Euclidean space R which, as symplectic manifolds are pairwise not symplectomorphic to each other.
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: Differential Geometry and its Applications
سال: 2004
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2004.03.009