Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Struchiner, Ivan"'
Autor:
Fernandes, Rui Loja, Struchiner, Ivan
Given a G-structure with connection satisfying a regularity assumption we associate to it a classifying Lie algebroid. This algebroid contains all the information about the equivalence problem and is an example of a G-structure Lie algebroid. We disc
Externí odkaz:
http://arxiv.org/abs/2107.01193
We describe the deformation cohomology of a symplectic groupoid, and use it to study deformations via Moser path methods, proving a symplectic groupoid version of the Moser Theorem. Our construction uses the deformation cohomologies of Lie groupoids
Externí odkaz:
http://arxiv.org/abs/2103.14008
Autor:
Fernandes, Rui Loja, Struchiner, Ivan
We introduce a systematic method to solve a type of Cartan's realization problem. Our method builds upon a new theory of Lie algebroids and Lie groupoids with structure group and connection. This approach allows to find local as well as complete solu
Externí odkaz:
http://arxiv.org/abs/1907.13614
We describe a local model for any Singular Riemannian Foliation in a neighbourhood of a closed saturated submanifold of a regular stratum. Moreover we construct a Lie groupoid which controls the transverse geometry of the linear approximation of the
Externí odkaz:
http://arxiv.org/abs/1812.03614
We discuss a Moser type argument to show when a deformation of a Lie group homomorphism and of a Lie subgroup is trivial. For compact groups we obtain stability results.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/1812.03276
Publikováno v:
International Mathematics Research Notices, Volume 2020, Issue 21, November 2020, Pages 7662-7746
We study deformations of Lie groupoids by means of the cohomology which controls them. This cohomology turns out to provide an intrinsic model for the cohomology of a Lie groupoid with values in its adjoint representation. We prove several fundamenta
Externí odkaz:
http://arxiv.org/abs/1510.02530
Autor:
Struchiner, Ivan
Publikováno v:
Repositório Institucional da UnicampUniversidade Estadual de CampinasUNICAMP.
Orientadores: Rui Loja Fernandes, Luiz Antonio Barrera San Martin
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
Made available in DSpace on 2018-08-12T16:18:57Z (GMT). N
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
Made available in DSpace on 2018-08-12T16:18:57Z (GMT). N
Externí odkaz:
http://repositorio.unicamp.br/jspui/handle/REPOSIP/306518
Publikováno v:
In Journal of Pure and Applied Algebra March 2020 224(3):1280-1296
We give simple and unified proofs of the known stability and rigidity results for Lie algebras, Lie subalgebras and Lie algebra homomorphisms. Moreover, we investigate when a Lie algebra homomorphism is stable under all automorphisms of the codomain
Externí odkaz:
http://arxiv.org/abs/1307.7979
Motivated by our attempt to recast Cartan's work on Lie pseudogroups in a more global and modern language, we are brought back to the question of understanding the linearization of multiplicative forms on groupoids and the corresponding integrability
Externí odkaz:
http://arxiv.org/abs/1210.2277