%0 Journal Article %A Auroux, Denis %A Muñoz, Vicente %A Presas, Francisco %T Lagrangian submanifolds and Lefschetz pencils. %D 2005 %@ 1527-5256 %U https://hdl.handle.net/20.500.14352/50612 %X Given a Lagrangian submanifold in a symplectic manifold and a Morse function on the submanifold, we show that there is an isotopic Morse function and a symplectic Lefschetz pencil on the manifold extending the Morse function to the whole manifold. From this construction,we define a sequence of symplectic invariants classifying the isotopy classes of Lagrangian spheres in a symplectic 4-manifold. %~