Flat connection contribution to topology changing amplitudes in an ensemble of Seifert fibered homology spheres
type: Item
instance of: scholarly article
title: Flat connection contribution to topology changing amplitudes in an ensemble of Seifert fibered homology spheres
zbMATH Open document ID: 0889.53051
DOI: 10.1007/BF02082934
author: Vladimir N. Efremov
published in: International Journal of Theoretical Physics
publication date: 1996-03-24T00:00:00Z
review text: The author employs Fintushel-Stern pseudofree orbifolds to construct the wave functions of universes created as the result of the interaction of cones on lens spaces. The problem of the definition of topology changing amplitudes for tunneling topology changes, as described by cobordisms with Seifert fibered homology sphere boundaries, is also considered. It is shown that such changes in the topology are accompanied by the creation, or annihilation of the lens spaces. The topology changing amplitude calculations are carried out in the stationary approximation for the Kodama wave functions. It is shown that in this approximation, the changing amplitudes factorize and can be expressed by the Chern-Simons invariants of flat connections over Seifert fibered homology spheres and lens spaces.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 55R25
zbMATH DE Number: 859282
zbMATH Keywords: Seifert homology sphere
zbMATH Keywords: cobordism
zbMATH Keywords: topology changing amplitudes
zbMATH Keywords: Chern-Simons invariants
zbMATH Keywords: flat connections
zbMATH Keywords: lens spaces
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
cites work: Weaving a classical metric with quantum threads
cites work: Why there is nothing rather than something: A theory of the cosmological constant
cites work: Topological gauge theories and group cohomology
cites work: Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
cites work: Pseudofree orbifolds
cites work: Rational homology cobordisms of spherical space forms
cites work: Instanton Homology of Seifert Fibred Homology Three Spheres
cites work: Q5185713
cites work: Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points
cites work: Topology change in classical and quantum gravity
cites work: The signature theorem for V-manifolds
cites work: Chern-Simons invariants of 3-manifolds and representation spaces of knot groups
cites work: Representation spaces of Seifert fibered homology spheres
cites work: Four-dimensional topology: an introduction
cites work: Q4107635
cites work: The trivial connection contribution to Witten's invariant and finite type invariants of rational homology spheres
cites work: The Geometries of 3-Manifolds
cites work: Linking topological quantum field theory and nonperturbative quantum gravity
cites work: The cosmological constant problem
cites work: \(2+1\)-dimensional gravity as an exactly soluble system
full work available at URL: https://doi.org/10.1007/bf02082934
OpenAlex ID: W2021333162
description: scientific article; zbMATH DE number 859282