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math.GT2005
The Alexander polynomial of (1,1)-knots
Alessia Cattabriga
In this paper we investigate the Alexander polynomial of (1,1)-knots, which are knots lying in a 3-manifold with genus one at most, admitting a particular decomposition. More preci…
math.GT2005
Representations of (1,1)-knots
Alessia Cattabriga, Michele Mulazzani
We present two different representations of (1,1)-knots and study some connections between them. The first representation is algebraic: every (1,1)-knot is represented by an elemen…