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4 papers · 2 filters
Nielsen Equivalence in Fuchsian groups
Martin Lustig, Yoav Moriah
In this paper we give a complete classification of minimal generating systems in a very general class of Fuchsian groups G. This class includes for example any G which has at least…
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…
Characterization of the reduced peripheral system of links
Benjamin Audoux, Jean-Baptiste Meilhan
The reduced peripheral system was introduced by Milnor in the fifties for the study of links up to link-homotopy, i.e. up to isotopies and crossing changes within each link compone…
Torsions and intersection forms of 4-manifolds from trisection diagrams
Vincent Florens, Delphine Moussard
Gay and Kirby introduced trisections which describe any closed oriented smooth 4-manifold as a union of three four-dimensional handlebodies. A trisection is encoded in a diagra…