Now showing items 1-12 of 12

    • Bohr-Sommerfeld quantization of b-symplectic toric manifolds 

      Miranda Galcerán, Eva; Mir Garcia, Pau; Weitsman, Jonathan (2022-03-07)
      Research report
      Open Access
      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 [GMW18b]. In particular, we prove that its dimension is given ...
    • Bohr–Sommerfeld quantization of b-symplectic toric manifolds 

      Mir Garcia, Pau; Miranda Galcerán, Eva; Weitsman, Jonathan (2023)
      Article
      Open Access
      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 ...
    • Constructions of b-semitoric systems 

      Brugués Mora, Joaquim; Hohloch, Sonja; Mir Garcia, Pau; Miranda Galcerán, Eva (2023-07-01)
      Article
      Open Access
      In this article, we introduce b-semitoric systems as a generalization of semitoric systems, specifically tailored for b-symplectic manifolds. The objective of this article is to furnish a collection of examples and investigate ...
    • Geometric quantization via cotangent models 

      Miranda Galcerán, Eva; Mir Garcia, Pau (2022-05-05)
      Research report
      Open Access
      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 ...
    • Geometric quantization via cotangent models 

      Mir Garcia, Pau; Miranda Galcerán, Eva (2021-09)
      Article
      Open Access
      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 ...
    • Hamiltonian facets of classical gauge theories on E-manifolds 

      Mir Garcia, Pau; Miranda Galcerán, Eva; Nicolás Martínez, Pablo (Institute of Physics (IOP), 2023-06-06)
      Article
      Open Access
      Manifolds with boundary, with corners, b-manifolds and foliations model configuration spaces for particles moving under constraints and can be described as E-manifolds. E-manifolds were introduced in Nest and Tsygan (2001 ...
    • Hamiltonian facets of classical gauge theories on E-manifolds 

      Mir Garcia, Pau; Miranda Galcerán, Eva; Nicolás Martínez, Pablo (2022-09-21)
      Research report
      Open Access
      Manifolds with boundary, with corners, b-manifolds and foliations model configuration spaces for particles moving under constraints and can be described as E-manifolds. E-manifolds were introduced in [NT01] and investigated ...
    • Rigidity of cotangent lifts and integrable systems 

      Mir Garcia, Pau; Miranda Galcerán, Eva (2020-11)
      Article
      Open Access
      In this article we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including systems with ...
    • Rigidity of cotangent lifts and integrable systems 

      Mir Garcia, Pau; Miranda Galcerán, Eva (2020-05)
      Research report
      Open Access
      In this article we generalize a theorem by Palais on the rigidity ofcompact group actions to cotangent lifts. We use this result to prove rigidity forintegrable systems on symplectic manifolds including sytems with ...
    • Rigidity of group actions, cotangent lifts and integrable systems 

      Mir Garcia, Pau (Universitat Politècnica de Catalunya, 2020-07)
      Master thesis
      Open Access
      Covenantee:   GEOMVAP - Geometria de Varietats i Aplicacions. Grup de Recerca
      In this master thesis we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including systems ...
    • Singular cotangent models and complexity in fluids with dissipation 

      Coquinot, Baptiste; Mir Garcia, Pau; Miranda Galcerán, Eva (2022-06-17)
      Research report
      Open Access
      In this article we analyze several mathematical models with singularities where the classical cotangent model is replaced by a b-cotangent model. We provide physical interpretations of the singular symplectic geometry ...
    • Singular cotangent models in fluids with dissipation 

      Coquinot, Baptiste; Mir Garcia, Pau; Miranda Galcerán, Eva (2023-04)
      Article
      Open Access
      In this article we analyze several mathematical models with singularities where the classical cotangent model is replaced by a -cotangent model. We provide physical interpretations of the singular symplectic geometry ...