3 citations · 3 across the 4 of their papers we have counts for
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Cyclic branched covers of alternating knots
Luisa Paoluzzi
For any integer n > 2, the n-fold cyclic branched cover M of an alternating prime knot K in the 3-sphere determines K, meaning that if K is a knot in the 3-sphere that is not equiv…
Non-isometric hyperbolic 3-orbifolds with the same topological type and volume
Jérôme Los, Luisa Paoluzzi, Antonio Salgueiro
We construct pairs of non-isometric hyperbolic 3-orbifolds with the same topological type and volume. Topologically these orbifolds are mapping tori of pseudo-Anosov maps of the su…
Examples of character varieties in characteristic and ramification
Luisa Paoluzzi, Joan Porti
We study -character varieties of knots over algebraically closed fields . We give a sufficient condition in terms of the double branched cove…
Double branched covers of tunnel number one knots
Yeonhee Jang, Luisa Paoluzzi
We provide criteria ensuring that a tunnel number one knot is not determined by its double branched cover, in the sense that the double branched cover is also the double branch…
Prime amphicheiral knots with free period 2
Luisa Paoluzzi, Makoto Sakuma
We construct prime amphicheiral knots that have free period 2. This settles an open question raised by the second named author, who proved that amphicheiral hyperbolic knots cannot…
A note on covers of fibred hyperbolic manifolds
Jérôme Los, Luisa Paoluzzi, António Salgueiro
For each surface of genus we construct pairs of conjugate pseudo-Anosov maps, and , and two non-equivalent covers , , s…