Since spectral invariants were introduced in cotangent bundles via generating functions by
Viterbo in the seminal paper [73], they have been defined in various contexts, mainly via …

We prove that symplectic homeomorphisms, in the sense of the celebrated Gromov–
Eliashberg Theorem, preserve coisotropic submanifolds and their characteristic foliations …

The Arnold conjecture states that a Hamiltonian diffeomorphism of a closed and connected
symplectic manifold (M, ω)(M, ω) must have at least as many fixed points as the minimal …

Let $ H (q, p) $ be a Hamiltonian on $ T^* T^ n $. We show that the sequence $ H_ {k}(q, p)=
H (kq, p) $ converges for the $\gamma $ topology defined by the author, to $\bar {H}(p) …

Abstract Inspired by Le Calvez's theory of transverse foliations for dynamical systems on
surfaces, we introduce a dynamical invariant, denoted by N, for Hamiltonians on any surface …

In symplectic geometry, the action function is a classical object defined on the set of
contractible fixed points of the time-one map of a Hamiltonian isotopy. On closed aspherical …

On closed symplectically aspherical manifolds, Schwarz proved a classical result that the
action function of a nontrivial Hamiltonian diffeomorphism is not constant by using Floer …

The subject of this dissertation is the field of continuous, or C0, symplectic topology which
studies continuous analogues of smooth symplectic objects (eg symplectic/Hamiltonian …

C0− симплектичка топологија изучава понашае симплектичких објеката и инваријанти
при C0− лимесима. Први значајан резултат који је уједно и мотивација за изучавае ове …

J'adresse un remerciement particulier à Claude Viterbo, qui m'a initié à la fois au métier de
chercheur et à la topologie symplectique, pour son soutien et pour son influence bénéfique …