2 papers
math.DS2022
The Arnold conjecture in and the Conley index
L. Asselle, M. Izydorek, M. Starostka
In this paper we give an alternative, purely Conley index based proof of the Arnold conjecture in asserting that a Hamiltonian diffeomorphism of $\mathbb C\m…
math.SG2020
The Palais-Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications
Luca Asselle, Maciej Starostka
We show that the Hamiltonian action satisfies the Palais-Smale condition over a "mixed regularity" space of loops in cotangent bundles, namely the space of loops with regularity $H…