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Memoirs of the American Mathematical Society
1997; 139 pp; softcover
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Order Code: MEMO/128/612
In this work, the author defines and studies a Reidemeister torsion for hyperbolic three-dimensional manifolds of finite volume. This torsion is an invariant obtained from the combinatorial and the hyperbolic structures of the manifold, and it is studied for closed manifolds and orbifolds, cusped and cone manifolds. The author includes several examples and studies the main properties, involving many aspects of hyperbolic three-manifolds. In particular, it is shown that the torsion of hyperbolic cone manifolds tends to zero for Euclidean degenerations. Text is in French.
Graduate students and research mathematicians interested in three-manifolds and hyperbolic geometry.
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