%0 Journal Article
%A Amorós, Jaume
%A Muñoz, Vicente
%A Presas, Francisco
%T Generic behavior of asymptotically holomorphic Lefschetz pencils.
%D 2004
%@ 1527-5256
%U https://hdl.handle.net/20.500.14352/50618
%X We prove that the vanishing spheres of the Lefschetz pen-cils constructed by Donaldson on symplectic manifolds of anydimension are conjugated under the action of the symplec-tomorphism group of the fiber. More precisely, a numberof generalized Dehn twists may be used to conjugate thosespheres. This implies the non-existence of homologically triv-ial vanishing spheres in these pencils. To develop the proof,we discuss some basic topological properties of the space of asymptotically holomorphic transverse sections.
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