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arxiv: gr-qc/9711042 · v1 · submitted 1997-11-12 · 🌀 gr-qc

A handlebody calculus for topology change

classification 🌀 gr-qc
keywords topologychangeallowedamplitudecalculuscertainchangescharacterise
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We consider certain interesting processes in quantum gravity which involve a change of spatial topology. We use Morse theory and the machinery of handlebodies to characterise topology changes as suggested by Sorkin. Our results support the view that that the pair production of Kaluza-Klein monopoles and the nucleation of various higher dimensional objects are allowed transitions with non-zero amplitude.

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  1. Morse-Bott inequalities, Topology Change and Cobordisms to Nothing

    hep-th 2024-10 unverdicted novelty 6.0

    Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.