Enviaments recents

  • Open problems, questions, and challenges in finite-dimensional integrable systems 

    Miranda Galcerán, Eva; Bolsinov, Alexey; Matveev, Vladimir; Tabachnikov, Sergei (Royal Society, 2018-05-14)
    Article
    Accés obert
    The paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by the participants of the conference ...
  • Equivariant classification of bm-symplectic surfaces 

    Miranda Galcerán, Eva; Planas Bahí, Arnau (Springer, 2018-07-24)
    Article
    Accés obert
    Inspired by Arnold’s classification of local Poisson structures [1] in the plane using the hierarchy of singularities of smooth functions, we consider the problem of global classification of Poisson structures on surfaces. ...
  • Zeroth poisson homology, foliated cohomology and perfect poisson manifolds 

    Miranda Galcerán, Eva; Martinez Torres, David (Springer, 2018)
    Article
    Accés obert
    We prove that for regular Poisson manifolds, the zeroth homology group is isomorphic to the top foliated cohomology group and we give some applications. In particular, we show that for regular unimodular Poisson manifolds ...
  • Maryam Mirzakhani, una llum que mai no s’apagarà 

    Miranda Galcerán, Eva; Muñoz Lecanda, Miguel Carlos (Societat Catalana de Matemàtiques (SCM), 2017-12-31)
    Article
    Accés obert
  • On geometric quantization of b-symplectic manifolds 

    Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (2018-05-20)
    Article
    Accés obert
    We study a notion of pre-quantization for b-symplectic manifolds. We use it to construct a formal geometric quantization of b-symplectic manifolds equipped with Hamiltonian torus actions with nonzero modular weight. We ...
  • Integrable systems and closed one forms 

    Miranda Galcerán, Eva; Cardona, Robert (2018-05-15)
    Article
    Accés obert
    In the first part of this paper we revisit a classical topological theorem by Tischler (1970) and deduce a topological result about compact manifolds admitting a set of independent closed forms proving that the manifold ...
  • An invitation to singular symplectic geometry 

    Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Dempsey Bradell, Roisin Mary; Oms, Cedric; Planas Bahí, Arnau (2017)
    Article
    Accés obert
    In this paper we analyze in detail a collection of motivating examples to consider bm-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ...
  • Classification of b^m-Nambu structures of top degree 

    Miranda Galcerán, Eva; Planas Bahí, Arnau (2018-01)
    Article
    Accés obert
    We obtain sufficient conditions for the existence and uniqueness of a positive compact almost automorphic solution to a logistic equation with discrete and continuous delay. Moreover, we provide a counterexample to some ...
  • Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities 

    Alberich Carramiñana, Maria; Alvarez Montaner, Josep; Dachs Cadefau, Ferran (WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2018)
    Article
    Accés obert
    The aim of this paper is to study mixed multiplier ideals associated with a tuple of ideals in a two-dimensional local ring with a rational singularity. We are interested in the partition of the real positive orthant given ...
  • New algebraic conditions for the identification of the relative position of two coplanar ellipses 

    Alberich Carramiñana, Maria; Elizalde, Borja; Thomas, Federico (2017-05-01)
    Article
    Accés restringit per política de l'editorial
    The identification of the relative position of two real coplanar ellipses can be reduced to the identification of the nature of the singular conics in the pencil they define and, in general, their location with respect to ...
  • Effective computation of base points of ideals in two-dimensional local rings 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Blanco Fernández, Guillem (2018-01-04)
    Article
    Accés restringit per política de l'editorial
    © 2018 Elsevier Ltd. We provide an algorithm that allows to describe the minimal log-resolution of an ideal in a smooth complex surface from the minimal log-resolution of its generators. In order to make this algorithm ...
  • Homotopy linear algebra 

    Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2018-04)
    Article
    Accés obert
    By homotopy linear algebra we mean the study of linear functors between slices of the 8-category of 8-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices ...

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