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Quantum Transition of Topology

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In a quantum gravity scenario new questions can be treated as, for instance, the
posibility of quantum transition of topology. As it is well known, classical transtions of
topology are incompatible withe causality and regularity principles. We intend to
exhibit quantum transitions of topology in the primordial Universe and examine the
possibility of quantum fluctuations of topology in a family of black holes. Nelson Pinto
Neto, Jerôme Martin, Vitório A. De Lorenci e I.D.Soares have been studying
quantum transtions of topology, and they have obtained approximate Green's
functions describing such transitions and obtaining selection rules.