30 citations · 46 across the 6 of their papers we have counts for
9 papers
Corrigendum: "On the Floer homology of cotangent bundles"
Alberto Abbondandolo, Matthias Schwarz
We fix an orientation issue which appears in our previous paper about the isomorphism between Floer homology of cotangent bundles and loop space homology. When the second Stiefel-W…
The role of the Legendre transform in the study of the Floer complex of cotangent bundles
Alberto Abbondandolo, Matthias Schwarz
Consider a classical Hamiltonian H on the cotangent bundle T*M of a closed orientable manifold M, and let L:TM -> R be its Legendre-dual Lagrangian. In a previous paper we construc…
Estimates and computations in Rabinowitz-Floer homology
Alberto Abbondandolo, Matthias Schwarz
The Rabinowitz-Floer homology of a Liouville domain W is the Floer homology of the free period Hamiltonian action functional associated to a Hamiltonian whose zero energy level is…
A Morse theoretic description of string topology
Ralph L. Cohen, Matthias Schwarz
Let M be a closed, oriented, n-dimensional manifold. In this paper we give a Morse theoretic description of the string topology operations introduced by Chas and Sullivan, and exte…
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…