Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 14 (2018), 128, 12 pages      arXiv:1807.10148      https://doi.org/10.3842/SIGMA.2018.128

Deformations of Pre-Symplectic Structures: a Dirac Geometry Approach

Florian Schätz a and Marco Zambon b
a) University of Luxembourg, Mathematics Research Unit, Maison du Nombre 6, avenue de la Fonte L-4364 Esch-sur-Alzette, Luxembourg
b) KU Leuven, Department of Mathematics, Celestijnenlaan 200B box 2400, BE-3001 Leuven, Belgium

Received September 24, 2018, in final form November 27, 2018; Published online December 06, 2018

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

Key words: pre-symplectic geometry; deformation theory; Dirac geometry.

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