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• W3100258216 abstract "We consider the SO(3) Witten-Reshetikhin-Turaev quantum invariants of random 3-manifolds. When the level r is prime, we show that the asymptotic distribution of the absolute value of these invariants is given by the standard Rayleigh distribution and independent of the choice of level. Hence the probability that the quantum invariant certifies the Heegaard genus of a random 3-manifold of a fixed Heegaard genus g is positive but very small, less than 10^-7 except when g < 4. We also examine random surface bundles over the circle and find the same distribution for quantum invariants there." @default.
• W3100258216 created "2020-11-23" @default.
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• W3100258216 date "2011-07-29" @default.
• W3100258216 modified "2023-09-27" @default.
• W3100258216 title "Quantum invariants of random 3–manifolds" @default.
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• W3100258216 doi "https://doi.org/10.2140/agt.2011.11.2191" @default.
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