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A Phase Space Path Integral for (2+1)-Dimensional Gravity

Steven Carlip

gr-qcarXiv:gr-qc/9504033

Abstract

I investigate the relationship between the phase space path integral in (2+1)-dimensional gravity and the canonical quantization of the corresponding reduced phase space in the York time slicing. I demonstrate the equivalence of these two approaches, and discuss some subtleties in the definition of the path integral necessary to prove this equivalence.

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