Skip to main content
Log in

Finite-Type Invariants of Cubic Complexes

  • Published:
Acta Applicandae Mathematica Aims and scope Submit manuscript

Abstract

The paper is for a general audience and may serve as a preliminary introduction to the theory of finite-type invariants.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bar-Natan, D.: Polynomial invariants are polynomial, Math. Res. Lett. 2 (1995), 239–246.

    Google Scholar 

  2. Garoufalidis, S.: On finite-type 3-manifold invariants I, J. Knot Theory Ramifications 5 (1996), 441–462.

    Google Scholar 

  3. Garoufalidis, S., Goussarov, M. and Polyak, M.: Calculus of clovers and finite-type invariants of 3-manifolds, Geom. Topol. 5 (2001), 75–108.

    Google Scholar 

  4. Garoufalidis, S. and Levine, J.: Finite-type 3-manifold invariants, the mapping class groups, and blinks, J. Differential Geom. 47 (1977), 257–320.

    Google Scholar 

  5. Gusarov, M.: On n-equivalence of knots and invariants of finite degree, In: O. Viro (ed.), Topology of Manifolds and Varieties, Amer. Math. Soc., Providence, 1994, pp. 173–192.

    Google Scholar 

  6. Habiro, K.: Claspers and finite-type invariants of links, Geom. Topol. 4 (2000), 1–83.

    Google Scholar 

  7. Matveev, S.: Generalized surgeries of three-dimensional manifolds and representations of homology spheres, Mat. Zam. 42(2) (1987), 268–278 (Russian; English translation in Math. Notices Acad. Sci. USSR 42(2) (1987))

    Google Scholar 

  8. Ohtsuki, T.: Finite-type invariants of integral homology 3-spheres, J. Knot Theory Ramifications 5 (1996), 101–115.

    Google Scholar 

  9. Vassiliev, V.: Cohomology of knot spaces, In: V. I. Arnold (ed.), Theory of Singularities and its Applications, Amer. Math. Soc., Providence, 1990.

    Google Scholar 

  10. Prasolov, V. and Sossinsky, A.: Knots, Links, Braids, and Three-Dimensional Manifolds, MZNMO, Moscow, 1997 (Russian; there is an English edition).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Matveev, S., Polyak, M. Finite-Type Invariants of Cubic Complexes. Acta Applicandae Mathematicae 75, 125–132 (2003). https://doi.org/10.1023/A:1022383927656

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022383927656

Navigation