Homotopy reduction of multisymplectic structures in Lagrangian field theory

Key Points

• The study develops methods for homotopy reduction of multisymplectic structures in Lagrangian field theory, enhancing the geometric understanding of physical systems.
• Key evidence includes the introduction of homotopy momentum maps as morphisms of $L_ ext{infinity}$-algebras, which reshapes the framework of field theories.
• The methodological approach focuses on local homotopy momentum maps and utilizes algebraic structures in the context of multisymplectic geometry.
• This work highlights new avenues for exploration in the geometric aspects of classical mechanics, necessitating further research in this area.