Explicit formulae for Chern-Simons invariants of the hyperbolic J(2n,-2m) knot orbifolds

Abstract

We calculate the Chern-Simons invariants of the hyperbolic double twist knot orbifolds using the Schläfli formula for the generalized Chern-Simons function on the family of cone-manifold structures of double twist knots.

Keywords

• chern-simons invariant
• double twist knot
• orbifold
• riley-mednykh polynomial
• orbifold covering