Integration of twisted Dirac brackets

The correspondence between Poisson structures and symplectic groupoids, analogous to the one of Lie algebras and Lie groups, plays an important role in Poisson geometry; it offers, in particular, a unifying framework for the study of hamiltonian and Poisson actions. In this paper, we extend this correspondence to the context of Dirac structures twisted by a closed 3-form. More generally, given a Lie groupoid $G$ over a manifold $M$, we show that multiplicative 2-forms on $G$ relatively closed with respect to a closed 3-form $\phi$ on $M$ correspond to maps from the Lie algebroid of $G$ into the cotangent bundle $T^*M$ of $M$, satisfying an algebraic condition and a differential condition with respect to the $\phi$-twisted Courant bracket. This correspondence describes, as a special case, the global objects associated to twisted Dirac structures. As applications, we relate our results to equivariant cohomology and foliation theory, and we give a new description of quasi-hamiltonian spaces and group-valued momentum maps.Comment: 42 pages. Minor changes, typos corrected. Revised version to appear in Duke Math.

Linear and multiplicative 2-forms

We study the relationship between multiplicative 2-forms on Lie groupoids and linear 2-forms on Lie algebroids, which leads to a new approach to the infinitesimal description of multiplicative 2-forms and to the integration of twisted Dirac manifolds.Comment: to appear in Letters in Mathematical Physic

Classification of Invariant Star Products up to Equivariant Morita Equivalence on Symplectic Manifolds

In this paper we investigate equivariant Morita theory for algebras with momentum maps and compute the equivariant Picard groupoid in terms of the Picard groupoid explicitly. We consider three types of Morita theory: ring-theoretic equivalence, *-equivalence and strong equivalence. Then we apply these general considerations to star product algebras over symplectic manifolds with a Lie algebra symmetry. We obtain the full classification up to equivariant Morita equivalence.Comment: 28 pages. Minor update, fixed typos

Case of severe hypertension and nephrotic range proteinuria

No abstract available

Morita Equivalence, Picard Groupoids and Noncommutative Field Theories

In this article we review recent developments on Morita equivalence of star products and their Picard groups. We point out the relations between noncommutative field theories and deformed vector bundles which give the Morita equivalence bimodules.Comment: Latex2e, 10 pages. Conference Proceeding for the Sendai Meeting 2002. Some typos fixe

Deformation Quantization of a Certain Type of Open Systems

We give an approach to open quantum systems based on formal deformation quantization. It is shown that classical open systems of a certain type can be systematically quantized into quantum open systems preserving the complete positivity of the open time evolution. The usual example of linearly coupled harmonic oscillators is discussed.Comment: Major update. Improved main statements. 21 page

Integration of Dirac-Jacobi structures

We study precontact groupoids whose infinitesimal counterparts are Dirac-Jacobi structures. These geometric objects generalize contact groupoids. We also explain the relationship between precontact groupoids and homogeneous presymplectic groupoids. Finally, we present some examples of precontact groupoids.Comment: 10 pages. Brief changes in the introduction. References update

Management of a pregnant woman with fibromuscular dysplasia

No abstract available

Techniques for an image space occlusion culling engine

In this work we present several techniques applied to implement an Image Space Software Occlusion Culling Engine to increase the speed of rendering general dynamic scenes with high depth complexity. This conservative culling method is based on a tiled Occlusion Map that is updated only when needed, deferring and even avoiding the expensive per pixel rasterization process. We show how the tiles become a useful way to increase the speed of visibility tests. Finally we describe how different parts of the engine were parallelized using OpenMP directives and SIMD instructions.Eje: Workshop Computación gráfica, imágenes y visualización (WCGIV)Red de Universidades con Carreras en Informática (RedUNCI

Integración de recursos tecnológicos de avanzada en cursos de ingeniería en sistemas de información

El proyecto que aquí se describe, denominado LATIN@UTN (Learning And Teaching In Networks at UTN)1, ha sido oportunamente presentado en el marco de la convocatoria internacional organizada por la empresa Hewlett Packard denominada: "HP 2009 Innovation in Education Grant Initiative for Latin America"2. Como resultado de dicha convocatoria, el proyecto oportunamente presentado por la UTN resultó seleccionado, lo que derivó en una donación de U$S 100.000 (U$S 90.000 en equipamiento y U$S 10.000 en fondos en efectivo). Este proyecto también se encuentra homologado por la Secretaría de Ciencia, Tecnología y Posgrado de la UTN (Res. en trámite) Cabe aclarar al respecto, que este proyecto se constituye en una continuación del realizado entre los años 2004 y 2005 en la Facultad Regional Avellaneda de la misma Universidad denominado AMERICA@UTN3. El principal objetivo de este proyecto consiste en la creación de un aula interactiva digital que tienda a lograr cambios significativos en el proceso de enseñanza y aprendizaje. La propuesta permitirá que los estudiantes tengan un rol más activo, interactuando con sus pares y docentes en forma sincrónica y asincrónica, aprovechando al máximo los recursos del equipamiento informático y de comunicaciones ya disponible,Red de Universidades con Carreras en Informática (RedUNCI