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arxiv: math/9906004 · v3 · pith:UCSELNBLnew · submitted 1999-06-01 · 🧮 math.GT · math.GR

Splittings of groups and intersection numbers

classification 🧮 math.GT math.GR
keywords curveintersectionnumbersimplesurfacezeroalgebraicanalogues
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We prove algebraic analogues of the facts that a curve on a surface with self-intersection number zero is homotopic to a cover of a simple curve, and that two simple curves on a surface with intersection number zero can be isotoped to be disjoint.

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