Deformations of Pre-Symplectic Structures: a Dirac Geometry Approach

TL;DR

This paper explores the geometric foundations of the algebraic structures governing deformations of pre-symplectic forms using Dirac geometry, providing new insights into their underlying mathematical framework.

Contribution

It introduces a Dirac geometry approach to understand the $L_{ abla}$-algebra controlling pre-symplectic deformations, revealing their geometric origin.

Findings

Identifies the geometric origin of the controlling $L_{ abla}$-algebra.

Connects pre-symplectic deformations with Dirac structures.

Provides a new perspective on the algebraic and geometric interplay.

Abstract

We explain the geometric origin of the $L_{\infty}$-algebra controlling deformations of pre-symplectic structures.