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Relevant bibliographies by topics / Basic bundle gerbe

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Academic literature on the topic 'Basic bundle gerbe'

Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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Journal articles on the topic "Basic bundle gerbe"

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Bunk, Severin, Lukas Müller, and Richard J. Szabo. "Smooth 2-Group Extensions and Symmetries of Bundle Gerbes." Communications in Mathematical Physics 384, no. 3 (2021): 1829–911. http://dx.doi.org/10.1007/s00220-021-04099-7.

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AbstractWe study bundle gerbes on manifolds M that carry an action of a connected Lie group G. We show that these data give rise to a smooth 2-group extension of G by the smooth 2-group of hermitean line bundles on M. This 2-group extension classifies equivariant structures on the bundle gerbe, and its non-triviality poses an obstruction to the existence of equivariant structures. We present a new global approach to the parallel transport of a bundle gerbe with connection, and use it to give an alternative construction of this smooth 2-group extension in terms of a homotopy-coherent version of

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Murray, Michael, and Danny Stevenson. "The basic bundle gerbe on unitary groups." Journal of Geometry and Physics 58, no. 11 (2008): 1571–90. http://dx.doi.org/10.1016/j.geomphys.2008.07.006.

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Burhanuddin, Burhanuddin. "INTERNAL INNOVATION OF TABA IN NORTHERN MALUKU HISTORICAL LINGUISTICS PERSPECTIVE." Humanus 16, no. 1 (2018): 239. http://dx.doi.org/10.24036/humanus.v16i2.8293.

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The paper explains the internal phonological and lexical innovations in Taba language in North Maluku from historical linguistics perspective. 200 and 1000 basic and cultural vocabulary, respectively, have been collected using note-taking and recorded interviews in Taba language and other related languages, including Buli, Maba, Sawai, Gebe, and Gane. Data were analysed using horizontal approach, employing intralingual comparative-linking method. The analysis reveals that Taba language has nine phonological propensities which are unidentified in other languages in North Maluku. These include (

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ROBERTS, DAVID MICHAEL. "MANY FINITE-DIMENSIONAL LIFTING BUNDLE GERBES ARE TORSION." Bulletin of the Australian Mathematical Society, September 17, 2021, 1–16. http://dx.doi.org/10.1017/s000497272100071x.

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Abstract Many bundle gerbes are either infinite-dimensional, or finite-dimensional but built using submersions that are far from being fibre bundles. Murray and Stevenson [‘A note on bundle gerbes and infinite-dimensionality’, J. Aust. Math. Soc.90(1) (2011), 81–92] proved that gerbes on simply-connected manifolds, built from finite-dimensional fibre bundles with connected fibres, always have a torsion $DD$ -class. I prove an analogous result for a wide class of gerbes built from principal bundles, relaxing the requirements on the fundamental group of the base and the connected components of t

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Dissertations / Theses on the topic "Basic bundle gerbe"

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Becker, Kimberly Elise. "Bundle gerbes and the Weyl map." Thesis, 2019. http://hdl.handle.net/2440/121598.

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This thesis reviews bundle gerbe theory and the well-known basic bundle gerbe over SU(n). We introduce the cup product bundle gerbe, and show it is stably isomorphic to the pullback of the basic bundle gerbe by the Weyl map. This result enriches our understanding of the basic bundle gerbe, which has numerous applications in physics.<br>Thesis (MPhil) -- University of Adelaide, School of Mathematical Sciences, 2019

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Books on the topic "Basic bundle gerbe"

1

Huybrechts, D. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.001.0001.

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This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of

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