Zobrazeno 1 - 10
of 171
pro vyhledávání: '"Ortiz, Cristián"'
We introduce and study module structures on both the dgla of multiplicative vector fields and the graded algebra of functions on Lie groupoids. We show that there is an associated structure of a graded Lie-Rinehart algebra on the vector fields of a d
Externí odkaz:
http://arxiv.org/abs/2412.07436
Morita equivalence classes of Lie groupoids serve as models for differentiable stacks, which are higher spaces in differential geometry, generalizing manifolds and orbifolds. Representations up to homotopy of Lie groupoids provide a higher analog of
Externí odkaz:
http://arxiv.org/abs/2410.02570
In this paper we extend the Chern-Weil-Lecomte characteristic map to the setting of $L_{\infty}$-algebras. In this general framework, characteristic classes of $L_{\infty}$-algebra extensions are defined by means of the Chern-Weil-Lecomte map which t
Externí odkaz:
http://arxiv.org/abs/2306.04465
Autor:
Ortiz, Cristian, Varea, Carlos
In this paper we describe all invariant complex Dirac structures with constant real index on a maximal flag manifold in terms of the roots of the Lie algebra which defines the flag manifold. We also completely classify these structures under the acti
Externí odkaz:
http://arxiv.org/abs/2304.05158
Autor:
Ortiz, Cristian, Valencia, Fabricio
In this paper we introduce Morse Lie groupoid morphisms and study their main properties. We show that this notion is Morita invariant which gives rise to a well defined notion of Morse function on differentiable stacks. We show a groupoid version of
Externí odkaz:
http://arxiv.org/abs/2207.07594
Publikováno v:
In Postharvest Biology and Technology October 2024 216
Autor:
Cabrera, Alejandro, Ortiz, Cristian
Publikováno v:
Diff. Geom. Appl. Vol 83, August 2022, article 101898
In this paper we study quotients of Lie algebroids and groupoids endowed with compatible differential forms. We identify Lie theoretic conditions under which such forms become basic and characterize the induced forms on the quotients. We apply these
Externí odkaz:
http://arxiv.org/abs/2008.03416
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Autor:
Zambelli, Roberto, Frölke, Sophie, Nery, Caio, Baumfeld, Daniel, Ortiz, Cristian, Cannegieter, Suzanne, Nemeth, Banne, Rezende, Suely Meireles
Publikováno v:
In The Journal of Foot and Ankle Surgery January-February 2024 63(1):59-63