Dunwoody manifolds are an interesting class of closed connected orientable 3--manifolds, which are defined by means of Heegaard diagrams having a rotational symmetry. They are proved to be cyclic coverings of lens spaces (possibly S^3) branched over (1,1)--knots. Here we study the Dunwoody manifolds which are cyclic coverings of the 3--sphere branched over two specified families of Montesinos knots. Then we determine the Dunwoody parameters for such knots and the isometry groups for the considered manifolds in the hyperbolic case. A list of volumes for some hyperbolic Dunwoody manifolds completes the paper.
Isometry Groups of Some Dunwoody Manifolds / Spaggiari, Fulvia; Telloni, Agnese Ilaria. - In: ALGEBRA COLLOQUIUM. - ISSN 1005-3867. - STAMPA. - 23:1(2016), pp. 117-128. [10.1142/S1005386716000158]
Isometry Groups of Some Dunwoody Manifolds
SPAGGIARI, Fulvia;
2016
Abstract
Dunwoody manifolds are an interesting class of closed connected orientable 3--manifolds, which are defined by means of Heegaard diagrams having a rotational symmetry. They are proved to be cyclic coverings of lens spaces (possibly S^3) branched over (1,1)--knots. Here we study the Dunwoody manifolds which are cyclic coverings of the 3--sphere branched over two specified families of Montesinos knots. Then we determine the Dunwoody parameters for such knots and the isometry groups for the considered manifolds in the hyperbolic case. A list of volumes for some hyperbolic Dunwoody manifolds completes the paper.File | Dimensione | Formato | |
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