Zobrazeno 1 - 10
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pro vyhledávání: '"Lavau, Sylvain"'
Autor:
Batakidis, Panagiotis, Lavau, Sylvain
For a Lie algebroid pair $A\hookrightarrow L$ we study cocycles constructed from the extension to $L$ of the higher connection forms of a representation up to homotopy $E$ of the Lie algebroid $A$. We show that there exists a cohomology class with va
Externí odkaz:
http://arxiv.org/abs/2406.05204
Autor:
Lavau, Sylvain
Publikováno v:
J. Geom. Phys. 192 (2023) 104902
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 fields of the foliation. By drawing on the relationship between Lie alg
Externí odkaz:
http://arxiv.org/abs/2203.10861
Autor:
Lavau, Sylvain, Stasheff, Jim
Publikováno v:
J. Pure Appl. Algebra, 227(6):107311, 2023
The present paper, though inspired by the use of tensor hierarchies in theoretical physics, establishes their mathematical credentials, especially as genetically related to Lie algebra crossed modules. Gauging procedures in supergravity rely on a pai
Externí odkaz:
http://arxiv.org/abs/2003.07838
Autor:
Lavau, Sylvain
Publikováno v:
In Journal of Geometry and Physics October 2023 192
Autor:
Lavau, Sylvain, Palmkvist, Jakob
Publikováno v:
Lett. Math. Phys., 110(11):3121-3152, 2020
We establish a correspondence between infinity-enhanced Leibniz algebras, recently introduced in order to encode tensor hierarchies, and differential graded Lie algebras, which have been already used in this context. We explain how any Leibniz algebr
Externí odkaz:
http://arxiv.org/abs/1907.05752
Autor:
Lavau, Sylvain
On dit qu'une variété est feuilletée lorsqu'il existe une partition de celle-ci en sous-variétés immergées. La théorie des feuilletages a des applications très profondes dans divers champs des Mathématiques et de la Physique, et il semble d'
Externí odkaz:
http://www.theses.fr/2016LYSE1215/document
Publikováno v:
Doc. Math. 25, 1571-1652 (2020)
We associate a Lie $\infty$-algebroid to every resolution of a singular foliation, where we consider a singular foliation as a locally generated $\mathscr{O}$-submodule of vector fields on the underlying manifold closed under Lie bracket. Here $\math
Externí odkaz:
http://arxiv.org/abs/1806.00475
Autor:
Lavau, Sylvain
Publikováno v:
Differ. Geom. Appl., 61:42-58, 2018
The generalization of Frobenius' theorem to foliations with singularities is usually attributed to Stefan and Sussmann, for their simultaneous discovery around 1973. However, their result is often referred to without caring much on the precise statem
Externí odkaz:
http://arxiv.org/abs/1710.01627
Autor:
Lavau, Sylvain
Publikováno v:
J. Geom. Phys. 144:147-189 (2019)
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) algebras. In this paper, we show that one can canonically associate a t
Externí odkaz:
http://arxiv.org/abs/1708.07068
Autor:
Lavau, Sylvain
A singular (or Hermann) foliation on a smooth manifold $M$ can be seen as a subsheaf of the sheaf $\mathfrak{X}$ of vector fields on $M$. We show that if this singular foliation admits a resolution (in the sense of sheaves) consisting of sections of
Externí odkaz:
http://arxiv.org/abs/1703.07404