The aim of this paper is to investigate the relations between Seifert manifolds and (1,1)-knots. In particular, we prove that every orientable Seifert manifold belonging to a certain class has a cylically presented fundamental group and it is the n-fold strongly-cyclic covering of a lens space branched over a (1,1)-knot.
L. Grasselli, M. Mulazzani (2009). Seifert manifolds and (1,1)-knots. SIBERIAN MATHEMATICAL JOURNAL, 50, 22-31 [10.1007/s11202-009-0003-x].
Seifert manifolds and (1,1)-knots
MULAZZANI, MICHELE
2009
Abstract
The aim of this paper is to investigate the relations between Seifert manifolds and (1,1)-knots. In particular, we prove that every orientable Seifert manifold belonging to a certain class has a cylically presented fundamental group and it is the n-fold strongly-cyclic covering of a lens space branched over a (1,1)-knot.File in questo prodotto:
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