Word Representation of Cords on a Punctured
نویسندگان
چکیده
In this paper a purely algebraic condition for a word in a free group to be representable by a simple curve on a punctured plane will be given. As an application, an algorithm for simple closed curves on a punctured plane will be obtained. Our solution is different from any algorithm due to Reinhart [12], Zieschang [13] or Chillingworth[2]. Although the study here will be confined to the case of a plane, similar arguments could be carried out on the 2-sphere. This research was motivated by monodromy problems appearing in Lefschetz fibrations and surface braids. See [7, 8, 9, 10, 11].
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