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Relevant bibliographies by topics / Prequantisation

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Academic literature on the topic 'Prequantisation'

Author: Grafiati

Published: 8 June 2024

Last updated: 31 July 2025

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Journal articles on the topic "Prequantisation"

1

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.

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2

Bunk, Severin. "Gerbes in Geometry, Field Theory, and Quantisation." Complex Manifolds 8, no. 1 (2021): 150–82. http://dx.doi.org/10.1515/coma-2020-0112.

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Abstract This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation. We cover the definition of bundle gerbes with connection and their morphisms, and explain the classification of bundle gerbes with connection in terms of differential cohomology. We then survey how the surface holonomy of bundle gerbes combines with their transgression line bundles to yield a smooth bordism-type field theory. Finally, we exhibit the use of bundle gerbes in geometric quantisation of 2-plectic as well as 1- and 2-shifted s

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3

Sevestre, Gabriel, and Tilmann Wurzbacher. "On the Prequantisation Map for 2-Plectic Manifolds." Mathematical Physics, Analysis and Geometry 24, no. 2 (2021). http://dx.doi.org/10.1007/s11040-021-09391-5.

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4

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.

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Abstract We prove that every non-degenerate Reeb flow on a closed contact manifold M admitting a strong symplectic filling W with vanishing first Chern class carries at least two geometrically distinct closed orbits provided that the positive equivariant symplectic homology of W satisfies a mild condition. Under further assumptions, we establish the existence of two geometrically distinct closed orbits on any contact finite quotient of M. Several examples of such contact manifolds are provided, like displaceable ones, unit cosphere bundles, prequantisation circle bundles, Brieskorn spheres and

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Dissertations / Theses on the topic "Prequantisation"

1

Bunk, Severin. "Categorical structures on bundle gerbes and higher geometric prequantisation." Thesis, Heriot-Watt University, 2017. http://hdl.handle.net/10399/3344.

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We present a construction of a 2-Hilbert space of sections of a bundle gerbe, a suitable candidate for a prequantum 2-Hilbert space in higher geometric quantisation. We start by briefly recalling the construction of the 2-category of bundle gerbes, with minor alterations that allow us to endow morphisms with additive structures. The morphisms in the resulting 2-categories are investigated in detail. We introduce a direct sum on morphism categories of bundle gerbes and show that these categories are cartesian monoidal and abelian. Endomorphisms of the trivial bundle gerbe, or higher functions,

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2

Sevestre, Gabriel. "Géométrie et préquantification des variétés 2-plectiques." Electronic Thesis or Diss., Université de Lorraine, 2021. http://www.theses.fr/2021LORR0142.

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Une variété 'n-plectique' est un couple constitué d'une variété et d'une (n+1)-forme fermée et non-dégénérée. Ces variétés généralisent le cas symplectique (1-plectique) et donnent un cadre naturel aux théories géométriques des champs classiques (comme les variétés symplectiques sont l'arène naturel de la mécanique classique). Les variétés n-plectiques, déjà étudiées depuis des années 70, sont devenues très importantes à cause de leur rôle dans l'approche dite 'supérieure' à la géométrie et topologie différentielle, c'est-à-dire les structures subtiles, de type catégorique, récemment découvert

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