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math.GT2018
Ineffectiveness of homotopical invariants on Nakanishi's 4-move conjecture
Benoît Guerville-Ballé, Juan Viu-Sos
A -move is a local operation for links consisting in replacing two parallel arcs by four half twists. At the present time, it is not known if this induces an unkotting operation…
math.GT2017★ 7 cited
Fundamental groups of real arrangements and torsion in the lower central series quotients
Enrique Artal Bartolo, Benoît Guerville-Ballé, Juan Viu-Sos
By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its intersection lattice, providing…
math.GT2017
Configurations of points and topology of real line arrangements
Benoît Guerville-Ballé, Juan Viu-Sos
A central question in the study of line arrangements in the complex projective plane is: when does the combinatorial data of the arrangement determine its topologic…