The Picard Group, Closed Geodesics, and Zeta Functions
نویسنده
چکیده
In this article we consider the Picard group SL(2, Z[;']), viewed as a discrete subgroup of the isometries of hyperbolic space. We fix a canonical choice of generators and then construct a Markov partition for the action of the group on the sphere at infinity. Our main application is to the study of the zeta function associated to the associated three-dimensional hyperbolic manifold.
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تاریخ انتشار 2010