Orbifolds, Quantum Cosmology, and Nontrivial Topology

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In order to include nontrivial spatial topologies in the problem of quantum creation of a universe, it seems to be necessary to generalize the sum over compact, smooth 4-manifolds to a sum over finite-volume, compact 4-orbifolds. We consider in detail the case of a 4-spherical orbifold with a cone-point singularity. This allows for the inclusion of a nontrivial topology in the semiclassical path integral approach to quantum cosmology, in the context of a Robertson-Walker minisuperspace.
Contribution to the XXVII National Meeting on the Physics of Particles and Fields (Aguas de Lindoia, Brazil, Sep. 2006). Revisions: Equation (10) corrected; First paragraph of Sec. 2 reworded; Ref. [12] modified

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