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.
P. Cristofori, M. Mulazzani, A. Vesnin (2007). Strongly-cyclic branched coverings of knots via (g,1)-decompositions. ACTA MATHEMATICA HUNGARICA, 116, 163-176 [10.1007/s10474-007-6029-2].
Strongly-cyclic branched coverings of knots via (g,1)-decompositions
MULAZZANI, MICHELE;
2007
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.File in questo prodotto:
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