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- W1848011325 abstract "By methods similar to those used by L. Jeffrey [L. C. Jeffrey, Chern–Simons–Witten invariants of lens spaces and torus bundles, and the semiclassical approximation, Commun. Math. Phys.147 (1992) 563–604], we compute the quantum SU (N)-invariants for mapping tori of trace 2 homeomorphisms of a genus 1 surface when N = 2, 3 and discuss their asymptotics. In particular, we obtain directly a proof of a version of Witten's asymptotic expansion conjecture for these 3-manifolds. We further prove the growth rate conjecture for these 3-manifolds in the SU(2) case, where we also allow the 3-manifolds to contain certain knots. In this case we also discuss trace -2 homeomorphisms, obtaining — in combination with Jeffrey's results — a proof of the asymptotic expansion conjecture for all torus bundles." @default.
- W1848011325 created "2016-06-24" @default.
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- W1848011325 date "2015-10-01" @default.
- W1848011325 modified "2023-09-24" @default.
- W1848011325 title "On the Witten–Reshetikhin–Turaev invariants of torus bundles" @default.
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- W1848011325 doi "https://doi.org/10.1142/s0218216515500558" @default.
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