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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.GT2018
Topology and homotopy of lattice isomorphic arrangements
Benoît Guerville-Ballé
We prove the existence of lattice isomorphic line arrangements having -equivalent or homotopy-equivalent complements and non homeomorphic embeddings in the complex projective…