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On the volume and Chern-Simons invariant for 2-bridge knot orbifolds. / Ham, Ji Young; Lee, Joongul; Mednykh, Alexander et al.

In: Journal of Knot Theory and its Ramifications, Vol. 26, No. 12, 1750082, 01.10.2017.

Research output: Contribution to journal › Article › peer-review

Harvard

Ham, JY, Lee, J, Mednykh, A & Rasskazov, A 2017, 'On the volume and Chern-Simons invariant for 2-bridge knot orbifolds', Journal of Knot Theory and its Ramifications, vol. 26, no. 12, 1750082. https://doi.org/10.1142/S0218216517500821

APA

Ham, J. Y., Lee, J., Mednykh, A., & Rasskazov, A. (2017). On the volume and Chern-Simons invariant for 2-bridge knot orbifolds. Journal of Knot Theory and its Ramifications, 26(12), [1750082]. https://doi.org/10.1142/S0218216517500821

Vancouver

Ham JY, Lee J, Mednykh A, Rasskazov A. On the volume and Chern-Simons invariant for 2-bridge knot orbifolds. Journal of Knot Theory and its Ramifications. 2017 Oct 1;26(12):1750082. doi: 10.1142/S0218216517500821

Author

Ham, Ji Young ; Lee, Joongul ; Mednykh, Alexander et al. / On the volume and Chern-Simons invariant for 2-bridge knot orbifolds. In: Journal of Knot Theory and its Ramifications. 2017 ; Vol. 26, No. 12.

BibTeX

@article{e267375b02e34604941f3a568b4b6c69,
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).",
keywords = "2-bridge knot, Chern-Simons invariant, cone-manifold, explicit formula, Fundamental set, knot with Conway's notation C (2n, 4), orbifold, Riley-Mednykh polynomial, volume, TWIST KNOTS, REPRESENTATION, knot with Conway's notation C(2n, 4), FORMULA, COMPLEX VOLUMES, HYPERBOLIC 3-MANIFOLDS, RIGIDITY, CONE-MANIFOLDS, ETA-INVARIANT",
author = "Ham, {Ji Young} and Joongul Lee and Alexander Mednykh and Aleksei Rasskazov",
year = "2017",
month = oct,
day = "1",
doi = "10.1142/S0218216517500821",
language = "English",
volume = "26",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "12",

}

RIS

TY - JOUR

T1 - On the volume and Chern-Simons invariant for 2-bridge knot orbifolds

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).

KW - 2-bridge knot

KW - Chern-Simons invariant

KW - cone-manifold

KW - explicit formula

KW - Fundamental set

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

KW - orbifold

KW - Riley-Mednykh polynomial

KW - volume

KW - TWIST KNOTS

KW - REPRESENTATION

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

KW - FORMULA

KW - COMPLEX VOLUMES

KW - HYPERBOLIC 3-MANIFOLDS

KW - RIGIDITY

KW - CONE-MANIFOLDS

KW - ETA-INVARIANT

UR - http://www.scopus.com/inward/record.url?scp=85031900611&partnerID=8YFLogxK

U2 - 10.1142/S0218216517500821

DO - 10.1142/S0218216517500821

M3 - Article

AN - SCOPUS:85031900611

VL - 26

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 12

M1 - 1750082

ER -

ID: 9875442