35 citations · 122 across the 11 of their papers we have counts for
11 papers
On the holonomy of Lie algebroids
Pooja Joshi, Joel Villatoro
We introduce a holonomy groupoid for Lie algebroids. This construction generalizes both the holonomy groupoid of a foliation and the adjoint representation of a Lie algebra. We pro…
Compact omnidirectional multicore fiber-based vector bending sensor
Josu Amorebieta, Angel Ortega-Gomez, Gaizka Durana +6
We propose and demonstrate a compact and simple vector bending sensor capable of distinguishing any direction and amplitude with high accuracy. The sensor consists of a short segme…
Sensitivity-optimized strongly coupled multicore fiber-based thermometer
Josu Amorebieta, Ángel Ortega-Gómez, Rubén Fernández +6
In this paper, we report on a multicore fiber-based (MCF) temperature sensor that operates in a wide thermal range and that is robustly packaged to withstand harsh environments. To…
Composed multicore fiber structure for direction-sensitive curvature monitoring
Joel Villatoro, Josu Amorebieta, Ángel Ortega-Gómez +4
The present work deals with a curvature sensor that consists of two segments of asymmetric multicore fiber (MCF) fusion spliced with standard single mode fiber (SMF). The MCF compr…
Highly sensitive multicore fiber accelerometer for low frequency vibration sensing
Josu Amorebieta, Ángel Ortega-Gómez, Gaizka Durana +6
We report on a compact, highly sensitive all-fiber accelerometer suitable for low frequency and low amplitude vibration sensing. The sensing elements in the device are two short se…
Twin-core fiber sensor integrated in laser cavity
Josu Amorebieta, Joao Pereira, Gaizka Durana +5
In this work, we report on a twin-core fiber sensor system that provides improved spectral efficiency, allows for multiplexing and gives low level of crosstalk. Pieces of the refer…
On sheaves of Lie-Rinehart algebras
Joel Villatoro
We study sheaves of Lie-Rinehart algebras over locally ringed spaces. We introduce morphisms and comorphisms of such sheaves and prove factorization theorems for each kind of morph…
Integration of singular foliations via paths
Joel Villatoro, Alfonso Garmendia
We give a new construction of the holonomy and fundamental groupoids of a singular foliation. In contrast with the existing construction of Androulidakis and Skandalis, our method…
Stacks in Poisson Geometry
Joel Villatoro
This thesis is divided into four chapters. The first chapter discusses the relationship between stacks on a site and groupoids internal to the site. It includes a rigorous proof of…
Poisson manifolds and their associated stacks
Joel Villatoro
We associate to any integrable Poisson manifold a stack, i.e. a category fibered in groupoids over a site. The site in question has objects Dirac manifolds and morphisms pairs cons…
Picard groups of b-symplectic manifolds
Joel Villatoro
We compute the Picard group of a stable b-symplectic manifold by introducing a collection of discrete invariants which classify up to Morita equivalence.