3 papers
math.DG2005
Collapsing manifolds obtained by Kummer-type constructions
Gabriel P. Paternain, Jimmy Petean
We construct F-structures on a Bott manifold and on some other manifolds obtained by Kummer-type constructions. We also prove that if M=E#X, where E is a fiber bundle with structur…
math.DS2004
Magnetic Rigidity of Horocycle flows
Gabriel P. Paternain
Let be a closed oriented surface endowed with a Riemannian metric and let be a 2-form. We show that the magnetic flow of the pair has zero asymptotic Maslov ind…
math.SG2004
A link invariant from the symplectic geometry of nilpotent slices
Paul Seidel, Ivan Smith
Using the symplectic geometry of certain manifolds which appear naturally in Lie theory, we define an invariant which assigns a graded abelian group to an oriented link. The releva…