On volumes of hyperbolic 3-manifolds
نویسنده
چکیده
The main thrust of present note is a volume formula for hyperbolic surface bundle with the fundamental group G. The novelty consists in a purely algebraic approach to the above problem. Initially, we concentrate on the Baum-Connes morphism μ : K•(BG)→ K•(C ∗ redG) for our class of manifolds, and then classify μ in terms of the ideals in the ring of integers of a quadratic number field K. Next, we extract the topological data (e.g. volume of the orbifold H/G) from the arithmetic of field K.
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تاریخ انتشار 2008