An analog of the Iwasawa conjecture for a compact hyperbolic threefold
نویسنده
چکیده
For a local system on a compact hyperbolic threefold, under a cohomological assumption, we will show that the order of its twisted Alexander polynomial and of the Ruelle L function at s = 0 coincide. Moreover we will show that their leading constant are also identical. These results may be considered as a solution of a geomeric analogue of the Iwasawa conjecture in the algebraic number theory. 1 2
منابع مشابه
An analog of the Iwasawa conjecture for a complete hyperbolic threefold of finite volume
For a unitary local system of rank one on a complete hyperbolic threefold of a finite volume with only one cusp, we will compare the order of its Alexander invariant at t = 1 and one of the Ruelle L function at s = 0. Our results may be considered as a solution of a geomeric analogue of the Iwasawa main conjecture in the algebraic number theory. 1
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