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Invariant character varieties of hyperbolic knots with symmetries

Published online by Cambridge University Press:  22 May 2017

LUISA PAOLUZZI  and
JOAN PORTI
LUISA PAOLUZZI
Affiliation:
Aix-Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille, France. e-mail: luisa.paoluzzi@univ-amu.fr
JOAN PORTI
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona and BGSMath 08193 Bellaterra, Spain. e-mail: porti@mat.uab.cat
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Abstract

We study character varieties of symmetric knots and their reductions mod p. We observe that the varieties present a different behaviour according to whether the knots admit a free or periodic symmetry.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 165 , Issue 2 , September 2018 , pp. 193 - 208
Copyright
Copyright © Cambridge Philosophical Society 2017 

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Footnotes

†

Partially supported by ANR project 12-BS01-0003-01.

‡

Partially supported by the Spanish Mineco through grant MTM2015-66165-P.

References

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