Volumes of random 3-manifolds

Viaggi, Gabriele

doi:10.1112/topo.12190

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Volumes of random 3-manifolds

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Viaggi, Gabriele
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1112/topo.12190
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1905.04935.pdf
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Citation

Viaggi, G. (2021). Volumes of random 3-manifolds. Journal of Topology, 14(2), 504-537. doi:10.1112/topo.12190.

Cite as: https://hdl.handle.net/21.11116/0000-0009-FE21-4

Abstract

We prove a law of large numbers for the volumes of families of random
hyperbolic mapping tori and Heegaard splittings providing a sharp answer to a
conjecture of Dunfield and Thurston.