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The Witten-Reshetikhin-Turaev invariants of finite order mapping tori II

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  • Jørgen Ellegaard Andersen, Denmark
  • Benjamin Himpel, Denmark
We identify the leading order term of the asymptotic expansion of the Witten–Reshetikhin–Turaev invariants for finite order mapping tori with classical invariants for all simple and simply-connected compact Lie groups. The square root of the Reidemeister torsion is used as a density on the moduli space of flat connections and the leading order term is identified with the integral over this moduli space of this density weighted by a certain phase for each component of the moduli space. We also identify this phase in terms of classical invariants such as Chern–Simons invariants, eta invariants, spectral flow and the ρ -invariant. As a result, we show agreement with the semiclassical approximation as predicted by the method of stationary phase.
Original languageEnglish
JournalQuantum Topology
Volume3
Issue3/4
Pages (from-to)377-421
Number of pages45
ISSN1663-487X
Publication statusPublished - 2012

    Research areas

  • Witten-Reshetikhin-Turaev quantum invariant, asymptotics, semiclassical approximation, Reidemeister torsion, p-invariant, eta invariant, spectral flow

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