A surgery view of boundary links

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A celebrated theorem of Kirby identifies the set of closed oriented connected 3-manifolds with the set of framed links in $S^3$ modulo two moves. We give a similar description for the set of knots (and more generally, boundary links) in homology 3-spheres. As an application, we define a noncommutative version of the Alexander polynomial of a boundary link. Our surgery view of boundary links is a key ingredient in a construction of a rational version of the Kontsevich integral, which is described in subsequent work. The current version fixes minor typographical errors.
LaTeX, 8 pages with 5 figures

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Geometric Topology, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/64196

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205328
 http://arxiv.org/abs/math/0205328

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arXiv