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- Jun Ueki
- Department of Mathematics , School of System Design and Technology , Tokyo Denki University , 5 Senju Asahi-cho, Adachi-ku, 120-8551 , Tokyo , Japan
抄録
<jats:title>Abstract</jats:title><jats:p>We formulate and prove a profinite rigidity theorem for the twisted Alexander polynomials up to several types of finite ambiguity. We also establish torsion growth formulas of the twisted homology groups in a<jats:inline-formula id="j_crelle-2020-0014_ineq_9999"><jats:alternatives><m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi>ℤ</m:mi></m:math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_crelle-2020-0014_eq_0611.png" /><jats:tex-math>{{\mathbb{Z}}}</jats:tex-math></jats:alternatives></jats:inline-formula>-cover of a 3-manifold with use of Mahler measures. We examine several examples associated to Riley’s parabolic representations of two-bridge knot groups and give a remark on hyperbolic volumes.</jats:p>
収録刊行物
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- Journal für die reine und angewandte Mathematik (Crelles Journal)
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Journal für die reine und angewandte Mathematik (Crelles Journal) 2021 (771), 171-192, 2020-07-11
Walter de Gruyter GmbH
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詳細情報 詳細情報について
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- CRID
- 1360568619581404800
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- ISSN
- 14355345
- 00754102
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- データソース種別
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