36 citations · 119 across the 10 of their papers we have counts for
11 papers
Gravity and generalised geometry from a Lie 2-algebroid perspective
Athanasios Chatzistavrakidis, Chris Hull, Larisa Jonke +2
We revisit the problem of defining natural torsion and curvature tensors for generalised connections and of using them to reconstruct the effective action for the massless modes of…
Graded Lie superalgebras from embedding tensors
Sylvain Lavau, Jakob Palmkvist
We show how various constructions of -graded Lie superalgebras are related to each other. These Lie superalgebras have a Lie algebra as the subalgebra at…
Atiyah classes of Lie algebroid homotopy modules
Panagiotis Batakidis, Sylvain Lavau
For a Lie algebroid pair we study cocycles constructed from the extension to of the higher connection forms of a representation up to homotopy of the L…
The modular class of a singular foliation
Sylvain Lavau
The modular class of a regular foliation is a cohomological obstruction to the existence of a volume form transverse to the leaves which is invariant under the flow of the vector f…
From Lie algebra crossed modules to tensor hierarchies
Sylvain Lavau, Jim Stasheff
The present paper, though inspired by the use of tensor hierarchies in theoretical physics, establishes their mathematical credentials, especially as genetically related to Lie alg…
Infinity-enhancing of Leibniz algebras
Sylvain Lavau, Jakob Palmkvist
We establish a correspondence between infinity-enhanced Leibniz algebras, recently introduced in order to encode tensor hierarchies, and differential graded Lie algebras, which hav…
The universal Lie -algebroid of a singular foliation
Camille Laurent-Gengoux, Sylvain Lavau, Thomas Strobl
We associate a Lie -algebroid to every resolution of a singular foliation, where we consider a singular foliation as a locally generated -submodule of vector f…
A short guide through integration theorems of generalized distributions
Sylvain Lavau
The generalization of Frobenius' theorem to foliations with singularities is usually attributed to Stefan and Sussmann, for their simultaneous discovery around 1973. However, their…
Tensor hierarchies and Leibniz algebras
Sylvain Lavau
Tensor hierarchies are algebraic objects that emerge in gauging procedures in supergravity models, and that present a very deep and intricate relationship with Leibniz (or Loday) a…
Lie -algebroids and singular foliations
Sylvain Lavau
A singular (or Hermann) foliation on a smooth manifold can be seen as a subsheaf of the sheaf of vector fields on . We show that if this singular foliation ad…
Hidden Q-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions
Sylvain Lavau, Henning Samtleben, Thomas Strobl
We disclose the mathematical structure underlying the gauge field sector of the recently constructed non-abelian superconformal models in six spacetime dimensions. This is a couple…