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math.SG2013
The symplectic displacement energy
Augustin Banyaga, David E. Hurtubise, Peter Spaeth
We define the symplectic displacement energy of a non-empty subset of a compact symplectic manifold as the infimum of the Hofer-like norm [5] of symplectic diffeomorphisms that dis…
math.SG2013
Gromov's alternative, contact shape, and C^0-rigidity of contact diffeomorphisms
Stefan Müller, Peter Spaeth
We prove that the group of contact diffeomorphisms is closed in the group of all diffeomorphisms in the C^0-topology. By Gromov's alternative, it suffices to exhibit a diffeomorphi…
math.SG2013
Topological contact dynamics III: uniqueness of the topological Hamiltonian and C^0-rigidity of the geodesic flow
Stefan Müller, Peter Spaeth
We prove that a topological contact isotopy uniquely defines a topological contact Hamiltonian. Combined with previous results from [MS11], this generalizes the classical one-to-on…