Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Explicit formulae for Chern-Simons invariants of the hyperbolic J(2n,-2m) knot orbifolds

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Published Mar 2, 2023
DOI https://doi.org/10.15673/tmgc.v15i3-4.2337

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Ji-Young Ham
School of Liberal Arts, Seoul National University of Science and Technology, Seoul, Korea, Department of Architecture, Konkuk University, Seoul, Korea
http://orcid.org/0000-0001-8454-9647
Joongul Lee
Department of Mathematics Education, Hongik University, 94 Wausan-ro, Mapo-gu, Seoul, Korea 04066
http://orcid.org/0000-0001-6708-9423

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

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How to Cite
Ham, J.-Y., & Lee, J. (2023). Explicit formulae for Chern-Simons invariants of the hyperbolic J(2n,-2m) knot orbifolds. Proceedings of the International Geometry Center, 15(3-4), 219-229. https://doi.org/10.15673/tmgc.v15i3-4.2337
Issue
Vol 15 No 3-4 (2022)
Section
Papers

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Author Biography

Ji-Young Ham, School of Liberal Arts, Seoul National University of Science and Technology, Seoul, Korea, Department of Architecture, Konkuk University, Seoul, Korea

School of Liberal Arts, Seoul National University of Science and Technology, 232 Gongneung-ro, Nowon-gu, Seoul, Korea 01811    Department of Architecture, Konkuk University, 120 Neungdong-ro, Gwangjin-gu, Seoul, Korea 05029