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Algorithmic problem of recognition of quasipositive braids and its relation to plane algebraic curves

S. Yu. Orevkovab

a Institut de Mathématiques de Toulouse
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow



Abstract: A braid is called quasipositive if it is a product of conjugates of the standard generators of the braid group. Quasipositive braids naturally appear in the study of plane algebraic curves. The algorithmic problem to decide whether a given braid is quasipositive is still open. Some partial results in this direction will be presented in the talk.

Language: English


© Steklov Math. Inst. of RAS, 2024