Siebenmann-type cobordisms with borders and topology changes by quantum tunneling
type: Item
instance of: scholarly article
title: Siebenmann-type cobordisms with borders and topology changes by quantum tunneling
zbMATH Open document ID: 0909.57011
DOI: 10.1007/BF02435804
author: Vladimir N. Efremov
published in: International Journal of Theoretical Physics
publication date: 1999-04-08T00:00:00Z
review text: Siebenmann-type cobordisms are constructed to describe topology changes with the Seifert fibered homology spheres in in- and out-states. We study the problem of determining of topology-changing amplitudes for these quantum tunneling processes. The calculations are performed in the stationary phase approximation for Kodama wave functions. In this approximation the amplitudes are expressed in terms of Chern-Simons invariants of flat \(SU(2)\)-connections over the cobordism boundary components. The topology-change amplitudes found are factorized into the Kodama wave functions for the lens spaces. The results are compared with those for Fintushel-Stern-type cobordisms which have been previously investigated.
Mathematics Subject Classification ID: 57R90
Mathematics Subject Classification ID: 83C47
zbMATH DE Number: 1066039
zbMATH Keywords: amplitudes
zbMATH Keywords: quantum tunneling processes
zbMATH Keywords: Kodama wave functions
zbMATH Keywords: Chern-Simons invariants
reviewed by: M. Schlichenmaier
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02435804
OpenAlex ID: W2005334120
description: scientific article; zbMATH DE number 1066039