Open Access
VOL. 55 | 2009 On geometric analogues of Iwasawa main conjecture for a hyperbolic threefold
Chapter Author(s) Ken-ichi Sugiyama
Editor(s) Jean-Pierre Bourguignon, Motoko Kotani, Yoshiaki Maeda, Nobuyuki Tose
Adv. Stud. Pure Math., 2009: 117-135 (2009) DOI: 10.2969/aspm/05510117

Abstract

We will discuss a relation between a special value of Ruelle–Selberg L-function of a unitary local system on a hyperbolic threefold of finite volume and Alexander invariant. A philosophy of our results are based on Iwasawa Main Conjecture in number theory.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1293.11102
MathSciNet: MR2463494

Digital Object Identifier: 10.2969/aspm/05510117

Subjects:
Primary: 11F32 , 11M36 , 57M25 , 57M27

Rights: Copyright © 2009 Mathematical Society of Japan

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