Abstract
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 constants are also identical. These results may be considered as a solution of a geomeric analogue of the Iwasawa conjecture in the algebraic number theory.
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More From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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