Sur une conjecture de Dunfield, Friedl et Jackson

Takayuki Morifuji

doi:10.1016/j.crma.2012.10.013

Sur une conjecture de Dunfield, Friedl et Jackson

Translated title of the contribution: On a conjecture of Dunfield, Friedl and Jackson

Takayuki Morifuji

Faculty of Economics

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

14 Citations (Scopus)

Abstract

In this short Note, we show that the twisted Alexander polynomial associated to a parabolic SL(2,C)-representation detects genus and fibering of the twist knots. As a corollary, a conjecture of Dunfield, Friedl and Jackson is proved for the hyperbolic twist knots.

Translated title of the contribution	On a conjecture of Dunfield, Friedl and Jackson
Original language	French
Pages (from-to)	921-924
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	350
Issue number	19-20
DOIs	https://doi.org/10.1016/j.crma.2012.10.013
Publication status	Published - 2012 Oct

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2012.10.013

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title = "Sur une conjecture de Dunfield, Friedl et Jackson",

abstract = "In this short Note, we show that the twisted Alexander polynomial associated to a parabolic SL(2,C)-representation detects genus and fibering of the twist knots. As a corollary, a conjecture of Dunfield, Friedl and Jackson is proved for the hyperbolic twist knots.",

author = "Takayuki Morifuji",

note = "Funding Information: The author would like to thank Stefan Friedl, Teruaki Kitano, Takahiro Kitayama and Yoshikazu Yamaguchi for helpful comments. The author also would like to thank the referee for useful comments, which helped to improve the Note. This research was partially supported by Grant-in-Aid for Scientific Research (No. 23540076), the Ministry of Education, Culture, Sports, Science and Technology, Japan.",

year = "2012",

month = oct,

doi = "10.1016/j.crma.2012.10.013",

language = "French",

volume = "350",

pages = "921--924",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "19-20",

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TY - JOUR

T1 - Sur une conjecture de Dunfield, Friedl et Jackson

AU - Morifuji, Takayuki

N1 - Funding Information: The author would like to thank Stefan Friedl, Teruaki Kitano, Takahiro Kitayama and Yoshikazu Yamaguchi for helpful comments. The author also would like to thank the referee for useful comments, which helped to improve the Note. This research was partially supported by Grant-in-Aid for Scientific Research (No. 23540076), the Ministry of Education, Culture, Sports, Science and Technology, Japan.

PY - 2012/10

Y1 - 2012/10

N2 - In this short Note, we show that the twisted Alexander polynomial associated to a parabolic SL(2,C)-representation detects genus and fibering of the twist knots. As a corollary, a conjecture of Dunfield, Friedl and Jackson is proved for the hyperbolic twist knots.

AB - In this short Note, we show that the twisted Alexander polynomial associated to a parabolic SL(2,C)-representation detects genus and fibering of the twist knots. As a corollary, a conjecture of Dunfield, Friedl and Jackson is proved for the hyperbolic twist knots.

UR - https://www.scopus.com/pages/publications/84868196233

UR - https://www.scopus.com/pages/publications/84868196233#tab=citedBy

U2 - 10.1016/j.crma.2012.10.013

DO - 10.1016/j.crma.2012.10.013

M3 - Article

AN - SCOPUS:84868196233

SN - 1631-073X

VL - 350

SP - 921

EP - 924

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 19-20

ER -

Sur une conjecture de Dunfield, Friedl et Jackson

Abstract

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