Abstract
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 language | English |
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Journal | Quantum Topology |
Volume | 3 |
Issue number | 3/4 |
Pages (from-to) | 377-421 |
Number of pages | 45 |
ISSN | 1663-487X |
DOIs | |
Publication status | Published - 2012 |
Externally published | Yes |