H-twisted Courant algebroids
Melchior Grutzmann

TL;DR
This paper generalizes the concept of H-twisted Courant algebroids by allowing the twist to be a closed 4-form in the kernel of the anchor map, and introduces a related cohomology theory.
Contribution
It extends the definition of H-twisted Courant algebroids to include a broader class of twists and develops a new cohomology framework for these structures.
Findings
Defined a generalized H-twisted Courant algebroid with a closed 4-form twist
Provided examples of the generalized structures
Established a cohomology theory for these algebroids
Abstract
We generalize Hansen--Strobl's definition of -twisted Courant algebroid such that the twist of the Jacobi identity is a 4-form in the kernel of the anchor map and is closed under a naturally occurring exterior covariant derivative. We give examples and define a cohomology.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models
