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Roots of knotted graphs and orbifolds | Sergei Matveev
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20 Apr 2005 | Subject: | Geometric Topology MSC-class: 57M27 | math.GT | 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. | Source: | arXiv, math.GT/0504415 | Services: | Forum | Review | PDF | Favorites |
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