Using worldline formalism and geometric quantization, the partition function for 3D gravity with matter on thermal AdS3 is computed via equivariant localization, reproducing the Wilson spool and conjecturing the all-orders result.
Lorentz spacetimes of constant curvature
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
This paper was first written in 1990, but was never published. In it, the author presents a novel approach to the study of constant curvature spacetimes in 2+1 dimensions. A parameterization of flat 2+1-dimensional domains of dependence is given in terms of measured geodesic laminations. There is also an interesting reinterpretation of Thurston's Earthquake Theorem involving anti-de Sitter spacetimes. With the permission of the author, it will be published for the first time in a forthcoming issue of Geometriae Dedicata, together with detailed "notes" outlining the developments in the field in the intervening years. The version posted here is nearly identical to the original; we merely corrected typographical errors and occasional notational mistakes, and also updated the references in the bibliography.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
In (2+1)D gravity, completions of boundary graviton algebras via monodromy data allow gauging of nonlocal symmetries to filter erratic CFT observables, producing wormhole terms as ensemble averages over quantum gates entangling monodromy data between two CFTs.
Geodesic simplices in pseudo-hyperbolic space of signature (p,q) admit a cohomological interpretation with a necessary and sufficient condition for finite volume, implying every ideal geodesic polytope in signature (2,2) has finite volume.
citing papers explorer
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What's the Matter with 3D Gravity?
Using worldline formalism and geometric quantization, the partition function for 3D gravity with matter on thermal AdS3 is computed via equivariant localization, reproducing the Wilson spool and conjecturing the all-orders result.
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Filtering out Erratic Observables: Wormholes from Gauging Nonlocal Symmetries
In (2+1)D gravity, completions of boundary graviton algebras via monodromy data allow gauging of nonlocal symmetries to filter erratic CFT observables, producing wormhole terms as ensemble averages over quantum gates entangling monodromy data between two CFTs.
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Geodesic simplices of pseudo-hyperbolic space
Geodesic simplices in pseudo-hyperbolic space of signature (p,q) admit a cohomological interpretation with a necessary and sufficient condition for finite volume, implying every ideal geodesic polytope in signature (2,2) has finite volume.