45 citations · 194 across the 35 of their papers we have counts for
3 papers · 1 filter
A smooth pseudo-gradient for the Lagrangian action functional
Alberto Abbondandolo, Matthias Schwarz
We study the action functional associated to a smooth Lagrangian function on the cotangent bundle of a manifold, having quadratic growth in the velocities. We show that, although t…
Floer homology of cotangent bundles and the loop product
Alberto Abbondandolo, Matthias Schwarz
We prove that the pair-of-pants product on the Floer homology of the cotangent bundle of a compact manifold M corresponds to the Chas-Sullivan loop product on the singular homology…
The homology of path spaces and Floer homology with conormal boundary conditions
Alberto Abbondandolo, Alessandro Portaluri, Matthias Schwarz
We define the Floer complex for Hamiltonian orbits on the cotangent bundle of a compact manifold satisfying non-local conormal boundary conditions. We prove that the homology of th…