8 citations · 19 across the 25 of their papers we have counts for
27 papers
Hamiltonian Floer Theory for Quantum Electrodynamics up to First Order in
Oliver Fabert, Jesse Straat
We use Hamiltonian Floer theory to prove a cuplength result about the existence of periodic solutions of particle-field systems with a Gaussian random field. As a concrete model we…
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…
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…
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…
From Euclidean field theory to hyperkähler Floer theory via regularized polysymplectic geometry
Ronen Brilleslijper, Oliver Fabert
Hamiltonian Floer theory plays an important role for finding periodic solutions of Hamilton's equation, which can be seen as a generalization of Newton's equation. Generalizing New…
Cuplength estimates for time-periodic measures of Hamiltonian systems with diffusion
Oliver Fabert
We show how methods from Hamiltonian Floer theory can be used to establish lower bounds for the number of different time-periodic measures of time-periodic Hamiltonian systems with…