RT Journal Article
T1 Generic behavior of asymptotically holomorphic Lefschetz pencils.
A1 Amorós, Jaume
A1 Muñoz, Vicente
A1 Presas, Francisco
AB 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.
PB International Press
SN 1527-5256
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/50618
UL https://hdl.handle.net/20.500.14352/50618
LA eng
NO CICYT
NO Research Training Network
DS Docta Complutense
RD 12 abr 2025