Ara es mostren els items 1-11 de 11

    • An invitation to singular symplectic geometry 

      Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Dempsey Bradell, Roisin Mary; Oms, Cedric; Planas Bahí, Arnau (2019)
      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 ...
    • Bohr–Sommerfeld quantization of b-symplectic toric manifolds 

      Mir Garcia, Pau; Miranda Galcerán, Eva; Weitsman, Jonathan (2023)
      Article
      Accés obert
      We define the Bohr-Sommerfeld quantization via T -modules for a b-symplectic toric manifold and show that it coincides with the formal geometric quantization of [Victor W. Guillemin, Eva Miranda, and Jonathan Weitsman. On ...
    • Convexity for Hamiltonian torus actions on b-symplectic manifolds 

      Guillemin, Victor; Miranda Galcerán, Eva; Pires, Ana Rita; Scott, Geoffrey (2017)
      Article
      Accés obert
      n [GMPS] we proved that the moment map image of a b-symplectic toric manifold is a convex b-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on b-symplectic ...
    • Desingularizing b^m-symplectic structures 

      Miranda Galcerán, Eva (2015-12)
      Report de recerca
      Accés obert
      A 2n-dimensional Poisson manifold (M,¿) is said to be bm-symplectic if it is symplectic on the complement of a hypersurface Z and has a simple Darboux canonical form at points of Z which we will describe below. In this ...
    • Geometric quantization via cotangent models 

      Miranda Galcerán, Eva; Mir Garcia, Pau (2022-05-05)
      Report de recerca
      Accés obert
      In this article we give a universal model for geometric quantization associated to a real polarization given by an integrable system with non-degenerate singularities. This universal model goes one step further than the ...
    • Integrable systems on singular symplectic manifolds: from local to global 

      Miranda Galcerán, Eva; Cardona, Robert (2021-02-03)
      Report de recerca
      Accés obert
      In this article, we consider integrable systems on manifolds endowed with symplectic structures with singularities of order one. These structures are symplectic away from a hypersurface where the symplectic volume goes ...
    • Non-commutative integrable systems on b-symplectic manifolds 

      Miranda Galcerán, Eva; Kiesenhofer, Anna (2016)
      Report de recerca
      Accés obert
      In this paper we study non-commutative integrable systems on b-Poisson manifolds. One important source of examples (and motiva- tion) of such systems comes from considering non-commutative systems on manifolds with ...
    • On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields 

      Miranda Galcerán, Eva; Oms, Cédric; Peralta-Salas, Daniel (2021-10-07)
      Report de recerca
      Accés obert
      Motivated by Poincare’s orbits going to infinity in the (restricted) three-body problem ´ (see [29] and [7]), we investigate the generic existence of heteroclinic-like orbits in a neighbourhood of the critical set of a ...
    • Open problems, questions, and challenges in finite-dimensional integrable systems 

      Miranda Galcerán, Eva; Bolsinov, Alexey; Matveev, Vladimir; Tabachnikov, Sergei (2018-04-11)
      Report de recerca
      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 ...
    • Symplectic and Poisson geometry on b-manifolds 

      Guillemin, Victor; Miranda Galcerán, Eva; Pissarra Pires, Ana Rita (2012)
      Report de recerca
      Accés obert
      Let M2n be a Poisson manifold with Poisson bivector field . We say thatM is b-Poisson if the map n : M ! 2n(TM) intersects the zero section transversally on a codimension one submanifold Z M. This paper will be a ...
    • Symplectic toric manifolds, Delzant theorem and integrable sytems 

      Cardona Aguilar, Robert (Universitat Politècnica de Catalunya, 2017-07)
      Treball Final de Grau
      Accés obert
      En aquesta tesi estudiarem la relació entre les varietats simplèctiques tòriques i els sistemes integrables. Per això, presentem en primer lloc tots els preliminars necessaris de geometria simplèctica. Després presentem ...