Constant connections, quantum holonomies and the Goldman bracket

Abstract

In the context of 2 + 1–dimensional quantum gravity with negative cosmological constant and topology R×T 2, constant matrix–valued connections generate a q–deformed representation of the fundamental group, and signed area phases relate the quantum matrices assigned to homotopic loops. Some features of the resulting quantum geometry are explored, and as a… (More)

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Cite this paper

@inproceedings{Nelson2004ConstantCQ, title={Constant connections, quantum holonomies and the Goldman bracket}, author={Janet E Nelson and Roger Francis Picken}, year={2004} }