Academic literature on the topic 'Prequantisation'
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Journal articles on the topic "Prequantisation":
Schmeding, Alexander, and Christoph Wockel. "(Re)constructing Lie groupoids from their bisections and applications to prequantisation." Differential Geometry and its Applications 49 (December 2016): 227–76. http://dx.doi.org/10.1016/j.difgeo.2016.07.009.
Bunk, Severin. "Gerbes in Geometry, Field Theory, and Quantisation." Complex Manifolds 8, no. 1 (January 1, 2021): 150–82. http://dx.doi.org/10.1515/coma-2020-0112.
Sevestre, Gabriel, and Tilmann Wurzbacher. "On the Prequantisation Map for 2-Plectic Manifolds." Mathematical Physics, Analysis and Geometry 24, no. 2 (June 2021). http://dx.doi.org/10.1007/s11040-021-09391-5.
ABREU, MIGUEL, JEAN GUTT, JUNGSOO KANG, and LEONARDO MACARINI. "Two closed orbits for non-degenerate Reeb flows." Mathematical Proceedings of the Cambridge Philosophical Society, February 21, 2020, 1–36. http://dx.doi.org/10.1017/s0305004120000018.
Dissertations / Theses on the topic "Prequantisation":
Bunk, Severin. "Categorical structures on bundle gerbes and higher geometric prequantisation." Thesis, Heriot-Watt University, 2017. http://hdl.handle.net/10399/3344.
Sevestre, Gabriel. "Géométrie et préquantification des variétés 2-plectiques." Electronic Thesis or Diss., Université de Lorraine, 2021. http://www.theses.fr/2021LORR0142.
An ‘n-plectic manifold’ is a couple formed by a manifold and a closed, non-degenerate differentiable form of degree (n+1). These manifolds generalize the symplectic case (1-plectic) and give a natural framework for studying geometric classical field theories (as well as symplectic manifolds give a natural framework for studying classical mechanics). N-plectic manifolds, already studied since the 70’s, became paramount because of their role in the so-called ‘higher’ approach to differential geometry and topology, subtle structures related to category theory, freshly discovered. In this PhD thesis, we will study almost exclusively 2-plectic manifolds, notably distinguished submanifolds (Lagrangian, co-isotropic…), the dynamic of Hamiltonian systems and symetries of 2-plectic manifolds, as well as their prequantisation