Modular class of even symplectic manifolds

TL;DR

This paper offers an intrinsic, coordinate-free description of the modular class for even symplectic manifolds, enhancing understanding of their geometric and algebraic properties.

Contribution

It introduces a new intrinsic framework for understanding the modular class in even symplectic geometry, avoiding coordinate dependence.

Findings

Provides a coordinate-free definition of the modular class.

Analyzes properties of the modular class in the intrinsic setting.

Enhances geometric understanding of even symplectic manifolds.

Abstract

We provide an intrinsic description of the notion of modular class for an even symplectic manifold and study its properties in this coordinate free setting.