On the volume and Chern-Simons invariant for 2-bridge knot orbifolds
- Authors
- Ham, Ji-Young; Lee, Joongul; Mednykh, Alexander; Rasskazov, Aleksei
- Issue Date
- Oct-2017
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Fundamental set; volume; Chern-Simons invariant; cone-manifold; orbifold; explicit formula; 2-bridge knot; knot with Conway' s notation C(2n, 4); Riley-Mednykh polynomial
- Citation
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.26, no.12
- Journal Title
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
- Volume
- 26
- Number
- 12
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/13162
- DOI
- 10.1142/S0218216517500821
- ISSN
- 0218-2165
- Abstract
- This paper extends the work by Mednykh and Rasskazov presented in [On the structure of the canonical fundamental set for the 2-bridge link orbifolds, Universitat Bielefeld, Sonderforschungsbereich 343, Discrete Structuren in der Mathematik, Preprint (1988), pp. 98-062, www. mathematik. uni-bielefeld. de/sfb343/preprints/pr98062.ps.gz]. By using their approach, we derive the Riley-Mednykh polynomial for a family of 2-bridge knot orbifolds. As a result, we obtain explicit formulae for the volumes and Chern- Simons invariants of orbifolds and cone-manifolds on the knot with Conway's notation C(2n, 4).
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Collections - College of Education > Department of Mathematics Education > 1. Journal Articles
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