A Lie Infinity Algebra of Hamiltonian Forms in n-plectic Geometry

TL;DR

This paper introduces a new framework for Hamiltonian forms in n-plectic geometry, establishing that they possess a non-trivial Lie infinity-algebra structure, which advances the mathematical understanding of these geometric objects.

Contribution

It provides a novel definition of Hamiltonian forms in n-plectic geometry and demonstrates their Lie infinity-algebra structure, a significant theoretical development.

Findings

Hamiltonian forms are redefined in n-plectic geometry.

These forms exhibit a non-trivial Lie infinity-algebra structure.

The work advances the mathematical theory of n-plectic geometry.

Abstract

We propose a new definition of so called Hamiltonian forms in n-plectic geometry and show that they have a non-trivial Lie infinity-algebra structure.