Density of Chebotarev and geodesic foliations of three-manifolds

Author
arash rastegar
sharif university of technology
Abstract
In this paper, the ⅯKR dictionary between prime numbers in algebraic number theory and knots in three-dimensional manifolds is reviewed. We consider closed geodesics on a finite-volume hyperbolic three-manifold. Subsequently, a notion of height in these knots is defined using the hyperbolic metric, and Chebotarev's density theorem is formulated for these knots.
Keywords
prime numbers
knots-Chebotarev density theorem
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