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Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation C(2n, 3)
- Authors
- Ham, Ji-Young; Lee, Joongul
- Issue Date
- Mar-2017
- Publisher
- SPRINGER
- Keywords
- Chern-Simons invariant; C(2n, 3); Orbifold; Riley-Mednykh polynomial; Orbifold covering
- Citation
- LETTERS IN MATHEMATICAL PHYSICS, v.107, no.3, pp.427 - 437
- Journal Title
- LETTERS IN MATHEMATICAL PHYSICS
- Volume
- 107
- Number
- 3
- Start Page
- 427
- End Page
- 437
- ISSN
- 0377-9017
- Abstract
- We calculate the Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation C(2n, 3) using the Schlafli formula for the generalized Chern-Simons function on the family of C(2n, 3) cone-manifold structures. We present the concrete and explicit formula of them. We apply the general instructions of Hilden, Lozano, and Montesinos-Amilibia and extend the Ham and Lee's methods. As an application, we calculate the Chern-Simons invariants of cyclic coverings of the hyperbolic C(2n, 3) orbifolds.
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Related Researcher
- Lee, Joon gul
- Education (Mathematics Education)