Pseudo-Anosov Örgülerin Topolojik Entropisi ve Çekici Matrisler

Abstract

In this paper, we introduce an alternative method to calculate the topological entropy of each member of an infinite family of pseudo-Anosov braids on the finitely punctured disk making use of -train tracks The method is based on Thurston's theory of surface homeomorphisms and presents positive matrices alternative to Dynnikov matrices which compute the topological entropy of a given pseudo-Anosov braid.