Strongly-cyclic branched coverings of knots via $(g,1)$-decompositions

Paola Cristofori; Michele Mulazzani; Andrei Vesnin

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Strongly-cyclic branched coverings of knots via $(g,1)$-decompositions

Paola Cristofori·Michele Mulazzani·Andrei Vesnin

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Abstract

Strongly-cyclic branched coverings of knots are studied by using their (g,1)-decompositions. Necessary and sufficient conditions for the existence and uniqueness of such coverings are obtained. It is also shown that their fundamental groups admit geometric g-words cyclic presentations.

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Paola Cristofori, Michele Mulazzani, Andrei Vesnin. 2005-03-04. Strongly-cyclic branched coverings of knots via $(g,1)$-decompositions. https://arxiv.org/abs/math/0402393

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