In this review we give a detailed introduction to the theory of (curved) $ L_\infty $-algebras
and $ L_\infty $-morphisms. In particular, we recall the notion of (curved) Maurer-Cartan …

We present a global construction of a so-called D-bracket appearing in the physics literature
of Double Field Theory (DFT) and show that if certain integrability criteria are satisfied, it can …

A bstract We describe the geometry of generic heterotic backgrounds preserving minimal
supersymmetry in four dimensions using the language of generalised geometry. They are …

In this paper, we give a detailed introduction to the theory of (curved)[Formula: see text]-
algebras and [Formula: see text]-morphisms, avoiding the concept of operads and providing …

A bstract We consider finite deformations of the Hull-Strominger system. Starting from the
heterotic superpotential, we identify complex coordinates on the off-shell parameter space …

A bstract We analyse the geometry of generic Minkowski\(\mathcal {N}\)= 1, D= 4 flux
compactifications in string theory, the default backgrounds for string model building. In M …

We study the shifted analogue of the “Lie–Poisson” construction for L_ ∞ L∞ algebroids
and we prove that any L_ ∞ L∞ algebroid naturally gives rise to shifted derived Poisson …

In this paper we prove graded versions of the Darboux Theorem and Weinstein's tubular
neighbourhood Theorem in order to study the deformation theory of Lagrangian $ Q …

We present a construction of weak graded Lie 2-algebras associated with quasi-Poisson
groupoids. We also establish a morphism between this weak graded Lie 2-algebra of …

We develop the deformation theory of a Dirac–Jacobi structure within a fixed Courant–
Jacobi algebroid. Using the description of split Courant–Jacobi algebroids as degree 2 …