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On the spectrum of holonomy algebras

✍ Scribed by Maria Cristina Abbati; Alessandro Manià

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 151 KB
Volume: 44
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(02)00050-5

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✦ Synopsis

Connections on a trivial bundle M × G can be identified with their holonomy maps, i.e. with homomorphisms of a groupoid of paths in M into the gauge group G. For a connected compact G, various algebras depending on the set A of the smooth connections through their holonomy maps have been introduced in the literature, called cylindrical and holonomy algebras. We discuss the relations between these algebras and the consistence of their spectra.

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