Detailed Information
Cited 2 time in 
Cited 2 time in 
Cited 2 time in
Metadata Downloads
On the volume and Chern-Simons invariant for 2-bridge knot orbifolds
- 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
- 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).
- Files in This Item
- There are no files associated with this item.
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Lee, Joon gul
- Education (Mathematics Education)