Roots of knotted graphs and orbifolds

Sergei Matveev

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arXiv · math/0504415

Roots of knotted graphs and orbifolds

Sergei Matveev

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Abstract

Let G be a graph in a 3-manifold M. We compress the pair (M,G) along admissible 2-spheres as long as possible. What we get is a root of (M,G). Our main result is that for any pair (M,G) the root exists and is unique. As a corollary we get an easy proof of Petronio's theorem on prime decompositions of 3-orbifolds.

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BibTeX RIS

Sergei Matveev. 2005-04-20. Roots of knotted graphs and orbifolds. https://arxiv.org/abs/math/0504415

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