On Chen–Yang’s volume conjecture for various quantum invariants

  • Jun Murakami

    Waseda University, Tokyo, Japan
On Chen–Yang’s volume conjecture for various quantum invariants cover
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Abstract

Chen and Yang extended the volume conjecture of quantum Uq(sl2){\mathcal U}_q(sl_2) invariant by putting qq = exp(4πi/r)(4\pi i/r) instead of exp(2πi/r)(2\pi i/r)/ for odd rr and they fond that the conjecture holds not only for complements of knots but also for various hyperbolic three-manifolds. Here we show numerical verifications of several variations of their conjecture.