arXiv subjects

Camilo Rengifo

Publications and source records attributed to Camilo Rengifo.

4 recordsLinked to original sources

arXiv2023

Introducción a los D-módulos

Estas notas son las memorias del cursillo dictado en el XXII Congreso Colombiano de Matemáticas en la Universidad del Cauca en Popayán - Colombia. El objetivo de este escrito es brindar un acercamiento a la teoría de módulos sobre el anillo de operadores diferenciales de una variedad algebraica suave. These are the lecture notes of a short course given at the XXII Colombian Congress of Mathematics held at Universidad del Cauca in Popayán - Colombia. The aim of this paper is to provide an introduction to the theory of modules over rings of differential operators over a smooth algebraic variety.

math.AG↗

arXiv2020

Odd transgression for Courant algebroids

The "odd transgression" introduced by the authors in an earlier article is applied to construct and study the inverse image functor in the theory of Courant algebroids.

math.QA↗

arXiv2018

On higher-dimensional Courant algebroids

We define the transgression functor which associates to a (higher-dimensional) Courant algebroid on a manifold a Lie algebroid on the shifted tangent bundle of the manifold.

math.QA↗

arXiv2014

T-duality and exceptional generalized geometry through symmetries of dg-manifolds

We study dg-manifolds which are R[2]-bundles over R[1]-bundles over manifolds, we calculate its symmetries, its derived symmetries and we introduce the concept of T-dual dg-manifolds. Within this framework we construct the T-duality map as a degree -1 map between the cohomologies of the T-dual dg-manifolds and we show an explicit isomorphism between the differential graded algebra of the symmetries of the T-dual dg-manifolds. We furthermore show how the algebraic structure underlying B_n generalized geometry could be recovered as derived dg-Leibniz algebra of the fixed points of the T-dual automorphism acting on the symmetries of a self T-dual dg-manifold, and we show how other types of algebraic structures underlying exceptional generalized geometry could be obtained as derived symmetries of certain dg-manifolds.

math.DG↗