3 papers
math.SG2025
Floer sections in multisymplectic geometry
Ronen Brilleslijper, Oliver Fabert
In symplectic geometry, Floer theory is the most important tool to prove the existence of time-periodic solutions in Hamiltonian mechanics. The core observation is that the -g…
math.SG2025
Generalizing symplectic topology from 1 to 2 dimensions
Ronen Brilleslijper, Oliver Fabert
In symplectic topology one uses elliptic methods to prove rigidity results about symplectic manifolds and solutions of Hamiltonian equations on them, where the most basic example i…
math.SG2024
An approach to Hamiltonian Floer theory for maps from surfaces
Ronen Brilleslijper, Oliver Fabert
In -dimensional classical field theory one studies maps from -dimensional manifolds in such a way that classical mechanics is recovered for . In previous papers we have…