We prove a conjecture of Viterbo from 2007 on the existence of a uniform bound on the
Lagrangian spectral norm of Hamiltonian deformations of the zero section in unit cotangent …

Published in two volumes, this is the first book to provide a thorough and systematic
explanation of symplectic topology, and the analytical details and techniques used in …

Our first main result states that the spectral norm γ γ on Ham (M, ω) Ham (M, ω), introduced
in the works of Viterbo, Schwarz and Oh, is continuous with respect to the C^ 0 C 0 topology …

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 define a new family of spectral invariants associated to certain Lagrangian links in
compact and connected surfaces of any genus. We show that our invariants recover the …

In the 1970s, Fathi, having proven that the group of compactly supported volume-preserving
homeomorphisms of the n-ball is simple for n≥3, asked if the same statement holds in …

We prove a conjecture of Viterbo from 2007 on the existence of a uniform bound on the
Lagrangian spectral norm of Hamiltonian deformations of the zero section in unit cotangent …

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 …

The purpose of this paper is to study the relation between the-topology and the topology
induced by the spectral norm on the group of Hamiltonian diffeomorphisms of a closed …

We use the Hofer norm to show that all Hamiltonian diffeomorphisms with compact support
in R2n that displace an open connected set with a nonzero Hofer-Zehnder capacity move a …