Zobrazeno 1 - 10
of 202
pro vyhledávání: '"Gengoux, P."'
These lecture notes attempt to invite the reader towards the theory of singular foliations, both smooth and holomorphic. In addition to a systematic review of the foundations, and an attempt to put in order examples and several elementary constructio
Externí odkaz:
http://arxiv.org/abs/2407.14932
Given a commutative algebra $\mathcal O$, a proper ideal $\mathcal I$, and a resolution of $\mathcal O/ \mathcal I$ by projective $\mathcal O $-modules, we construct an explicit Koszul-Tate resolution. We call it the arborescent Koszul-Tate resolutio
Externí odkaz:
http://arxiv.org/abs/2406.03955
We classify singular foliations admitting a given leaf and a given transverse singular foliation.
Comment: 42 pages in total; v2 contains several corrections and an image for depicting parallel transport around holes; thanks to all the commentat
Comment: 42 pages in total; v2 contains several corrections and an image for depicting parallel transport around holes; thanks to all the commentat
Externí odkaz:
http://arxiv.org/abs/2401.05966
We study contact resolutions of Jacobi structures which are contact on an open subset. We give several classes of examples, as well as classes for which it cannot exist.
Externí odkaz:
http://arxiv.org/abs/2306.06774
We recall the question of geometric integrators in the context of Poisson geometry, and explain their construction. These Poisson integrators are tested in some mechanical examples. Their properties are illustrated numerically and they are compared t
Externí odkaz:
http://arxiv.org/abs/2303.15883
Following recent results of A.K. and V.S. on $\mathbb Z$-graded manifolds, we give several local and global normal forms results for $Q$-structures on those, i.e. for differential graded manifolds. In particular, we explain in which sense their relev
Externí odkaz:
http://arxiv.org/abs/2212.05579
We study the modular class of $Q$-manifolds, and in particular of negatively graded Lie $\infty$-algebroid. We show the equivalence of several descriptions of those classes, that it matches the classes introduced by various authors and that the notio
Externí odkaz:
http://arxiv.org/abs/2203.16139
Publikováno v:
Math. Mech. Compl. Sys. 11 (2023) 1-18
We discuss the notion of basic cohomology for Dirac structures and, more generally, Lie algebroids. We then use this notion to characterize the obstruction to a variational formulation of Dirac dynamics.
Externí odkaz:
http://arxiv.org/abs/2109.00313
Autor:
Laurent-Gengoux, Camille, Louis, Ruben
We show that there is an equivalence of categories between Lie-Rinehart algebras over a commutative algebra $\mathcal O $ and homotopy equivalence classes of negatively graded Lie $\infty $-algebroids over their resolutions (=acyclic Lie $\infty$-alg
Externí odkaz:
http://arxiv.org/abs/2106.13458
We construct smooth symplectic resolutions of the quotient of R^2 under some infinite discrete sub-group of GL_2(R) preserving a log-symplectic structure. This extends from algebraic geometry to smooth real differential geometry the Du Val symplectic
Externí odkaz:
http://arxiv.org/abs/2104.01348