Browsing by Author "Mir Garcia, Pau"
Now showing items 1-7 of 7
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Bohr-Sommerfeld quantization of b-symplectic toric manifolds
Miranda Galcerán, Eva; Mir Garcia, Pau; Weitsman, Jonathan (2022-03-07)
Research report
Open AccessWe 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 ... -
Geometric quantization via cotangent models
Mir Garcia, Pau; Miranda Galcerán, Eva (2021-09)
Article
Open AccessIn 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
Miranda Galcerán, Eva; Mir Garcia, Pau (2022-05-05)
Research report
Open AccessIn 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 ... -
Rigidity of cotangent lifts and integrable systems
Mir Garcia, Pau; Miranda Galcerán, Eva (2020-05)
Research report
Open AccessIn 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 cotangent lifts and integrable systems
Mir Garcia, Pau; Miranda Galcerán, Eva (2020-11)
Article
Open AccessIn 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 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 RecercaIn 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 AccessIn 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 ...