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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

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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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