A Surgery View of Boundary Links

@inproceedings{KRICKER2003ASV,
  title={A Surgery View of Boundary Links},
  author={ANDREW KRICKER},
  year={2003}
}
  • ANDREW KRICKER
  • Published 2003
A celebrated theorem of Kirby identifies the set of closed oriented connected 3-manifolds with the set of framed links in S3 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… CONTINUE READING

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