Regularized polysymplectic geometry and first steps towards Floer theory for covariant field theories
From MaRDI portal
Publication:2107523
DOI10.1016/j.geomphys.2022.104703OpenAlexW4307570629MaRDI QIDQ2107523
Oliver Fabert, Ronen Brilleslijper
Publication date: 1 December 2022
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.05147
calculus of variationsclassical field theoryFloer theorycovariant field theorypolysymplectic geometry
Symplectic manifolds (general theory) (53D05) Symplectic aspects of Floer homology and cohomology (53D40) Quantum field theory; related classical field theories (81Txx) Classical field theories (70Sxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Morse theory and Floer homology. Translated from the French by Reinie Erné
- The Arnold conjecture for Clifford symplectic pencils
- On the \(k\)-symplectic, \(k\)-cosymplectic and multisymplectic formalisms of classical field theories
- Hamiltonian field theory
- Morse theory for Lagrangian intersections
- Multisymplectic geometry, variational integrators, and nonlinear PDEs
- A global version of Günther's polysymplectic formalism using vertical projections
- The polysymplectic Hamiltonian formalism in field theory and calculus of variations. I: The local case
- Cuplength estimates for periodic solutions of Hamiltonian particle-field systems
- Time-periodic solutions of Hamiltonian PDEs using pseudoholomorphic curves
- On the Period of Periodic Motions of a Particle in a Scalar Wave Field
- MULTISYMPLECTIC AND POLYSYMPLECTIC STRUCTURES ON FIBER BUNDLES
- Dynamics of Charged Particles and their Radiation Field
- Canonical multi-symplectic structure on the total exterior algebra bundle
- Hamiltonian Floer Theory for Nonlinear Schrödinger Equations and the Small Divisor Problem
