An analog of the Iwasawa conjecture for a complete hyperbolic threefold of finite volume

Details An analog of the Iwasawa conjecture for a complete hyperbolic threefold of finite volume An analog of the Iwasawa conjecture for a complete hyperbolic threefold of finite volume

2007-08-23

arxiv.org/abs/0708.3122v1

Mathematics

Spectral Theory

27 pages

Scientific paper

For a unitary local system of rank one on a complete hyperbolic threefold of
finite volume which has only one cusp, we will compare the order of the
Alexander invariant at t=1 and one of Ruelle-Selberg L-function at s=0. Our
result may be considered as a geometric analog of the Iwasawa main conjecture
in the algebraic number theory.

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