A Surgery View of Boundary Links

  title={A Surgery View of Boundary Links},
  author={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

From This Paper

Figures, tables, and topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 12 references

A survey of applications of surgery to knot and link theory, Surveys on surgery theory, 1 345–364

  • K. Orr
  • Ann. of Math. Stud.,
  • 2000

The Cohn localization of the free group

  • FV M. Farber, P. Vogel
  • ring, Math. Proc. Cambridge Phil. Soc
  • 1992

The Cohn localization of the free group ring

  • P. Vogel
  • Commentarii Math . Helv .
  • 1986

The Cohn localization of the free group ring , Math

  • P. Vogel
  • Commentarii Math . Helv .
  • 1986

A surgical view of Alexander invariants of links, Math. Sem

  • Y. Nakanishi
  • Notes, Kobe Univ
  • 1980

A calculus for framed links in S3

  • R. Kirby
  • Inventiones
  • 1978

Knots and links

  • D. Rolfsen
  • Publish or Perish,
  • 1976
1 Excerpt

Shaneson, The codimension two placement problem and homology equivalent manifolds

  • J. S. Cappell
  • Annals Math
  • 1974

Similar Papers

Loading similar papers…