On the volume and Chern-Simons invariant for 2-bridge knot orbifolds

Ji Young Ham; Joongul Lee; Alexander Mednykh; Aleksei Rasskazov

doi:10.1142/S0218216517500821

On the volume and Chern-Simons invariant for 2-bridge knot orbifolds

Ji Young Ham, Joongul Lee, Alexander Mednykh, Aleksei Rasskazov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

2 Цитирования (Scopus)

Аннотация

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, Universität 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).

Язык оригинала	английский
Номер статьи	1750082
Число страниц	22
Журнал	Journal of Knot Theory and its Ramifications
Том	26
Номер выпуска	12
DOI	https://doi.org/10.1142/S0218216517500821
Состояние	Опубликовано - 1 окт 2017

Доступ к документу

10.1142/S0218216517500821

Link to publication in Scopus

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Цитировать

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title = "On the volume and Chern-Simons invariant for 2-bridge knot orbifolds",

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, Universit{\"a}t 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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On the volume and Chern-Simons invariant for 2-bridge knot orbifolds. / Ham, Ji Young; Lee, Joongul; Mednykh, Alexander; Rasskazov, Aleksei.

В: Journal of Knot Theory and its Ramifications, Том 26, № 12, 1750082, 01.10.2017.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

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AU - Ham, Ji Young

AU - Lee, Joongul

AU - Mednykh, Alexander

AU - Rasskazov, Aleksei

PY - 2017/10/1

Y1 - 2017/10/1

N2 - 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, Universität 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).

AB - 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, Universität 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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KW - knot with Conway's notation C(2n, 4)

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KW - COMPLEX VOLUMES

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