Topology change in (2+1)-dimensional gravity

DOI10.1063/1.530760zbMath0817.53058arXivgr-qc/9406006OpenAlexW2079646839MaRDI QIDQ4327249

Robert J. jun. Cosgrove, Steven Carlip

Publication date: 5 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9406006

zbMATH Keywords

path integralRay-Singer torsionspatial topology change

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) General relativity (83C99) Differential topology (57R99)

Related Items

On a canonical quantization of 3D anti de Sitter pure gravity, Quantum gravity as topological quantum field theory, Analogue gravity, QUANTIZATION OF REDUCED CHERN–SIMONS GRAVITY WITH A SOURCE, SOME PROBLEMS OF TOPOLOGY CHANGE DESCRIPTION IN THE THEORY OF SPACETIME, The Einstein-Vlasov system/kinetic theory, Quantum gravity in \(2+1\) dimensions: the case of a closed universe, Most general theory of 3d gravity: covariant phase space, dual diffeomorphisms, and more

Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• Topological quantum field theories on manifolds with a boundary
• On the nature of quantum geometrodynamics
• The symplectic nature of fundamental groups of surfaces
• The Fenchel-Nielsen deformation
• Perturbative expansion of Chern-Simons theory with non-compact Gauge group
• Analytic torsion and R-torsion of Riemannian manifolds
• Analytic torsion and the heat equation
• Topological gauge theories of antisymmetric tensor fields
• R-torsion and the Laplacian on Riemannian manifolds
• Analytic Torsion and R-Torsion for Unimodular Representations
• Whitehead torsion
• Topology in General Relativity