On certain l-functions for deformations of knot group representations

Takahiro Kitayama, Masanori Morishita, Ryoto Tange, Yuji Terashima

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We study the twisted knot module for the universal deformation of an SL2 -representation of a knot group and introduce an associated L-function, which may be seen as an analogue of the algebraic p-adic L-function associated to the Selmer module for the universal deformation of a Galois representation. We then investigate two problems proposed by Mazur: Firstly we show the torsion property of the twisted knot module over the universal deformation ring under certain conditions. Secondly we compute the L-function by some concrete examples for 2-bridge knots.

本文言語English
ページ(範囲)3171-3195
ページ数25
ジャーナルTransactions of the American Mathematical Society
370
5
DOI
出版ステータスPublished - 2018 5月
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

フィンガープリント

「On certain l-functions for deformations of knot group representations」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル