6 citations · 9 across the 6 of their papers we have counts for
11 papers
Symplectic 4-manifolds, singular plane curves, and isotopy problems
Denis Auroux
We give an overview of various recent results concerning the topology of symplectic 4-manifolds and singular plane curves, using branched covers and isotopy problems as a unifying…
Some open questions about symplectic 4-manifolds, singular plane curves, and braid group factorizations
Denis Auroux
The topology of symplectic 4-manifolds is related to that of singular plane curves via the concept of branched covers. Thus, various classification problems concerning symplectic 4…
Lagrangian submanifolds and Lefschetz pencils
Denis Auroux, Vicente Muñoz, Francisco Presas
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…
Lefschetz pencils, branched covers and symplectic invariants
Denis Auroux, Ivan Smith
This set of lectures aims to give an overview of Donaldson's theory of linear systems on symplectic manifolds and the algebraic and geometric invariants to which they give rise. Af…
Monodromy invariants in symplectic topology
Denis Auroux
This text is a set of lecture notes for a series of four talks given at I.P.A.M., Los Angeles, on March 18-20, 2003. The first lecture provides a quick overview of symplectic topol…
Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves
D. Auroux, S. K. Donaldson, L. Katzarkov
We discuss the properties of a certain type of Dehn surgery along a Lagrangian torus in a symplectic 4-manifold, known as Luttinger's surgery, and use this construction to provide…