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Algebraic characterization of simple closed curves via Turaev's cobracket
surfaces conjugacy classes Lie algebras intersection number
2010/12/6
The vector space V generated by the conjugacy classes in the funda-mental group of an orientable surface has a natural Lie cobracket : V −→ V × V.For negatively curved surfaces, can be compu...
Simple closed curves, word length, and nilpotent quotients of free groups
ISimple closed curves word length nilpotent quotients of free groups
2010/11/29
We consider the fundamental group p of a surface of finite type equipped with the infinite generating set consisting of all simple closed curves. We show that every nilpotent quotient of p has finite ...