Canonical Wick rotations in 3-dimensional gravity
Author(s)
Bibliographic Information
Canonical Wick rotations in 3-dimensional gravity
（Memoirs of the American Mathematical Society, no. 926）
American Mathematical Society, 2009
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Note
Includes bibliographical references (p. 159-161) and index
Description and Table of Contents
Description
The authors develop a canonical Wick rotation-rescaling theory in 3-dimensional gravity. This includes: a simultaneous classification: this shows how maximal globally hyperbolic space times of arbitrary constant curvature, which admit a complete Cauchy surface and canonical cosmological time, as well as complex projective structures on arbitrary surfaces, are all different materializations of 'more fundamental' encoding structures; Canonical geometric correlations: this shows how space times of different curvature, that share a same encoding structure, are related to each other by canonical rescalings, and how they can be transformed by canonical Wick rotations in hyperbolic 3-manifolds, that carry the appropriate asymptotic projective structure. Both Wick rotations and rescalings act along the canonical cosmological time and have universal rescaling functions. These correlations are functorial with respect to isomorphisms of the respective geometric categories.
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