Skip to main content
SpringerLink
Log in

On the Jones polynomial of closed 3-braids

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  • [A] Artin, E.: Theorie der Zopfe. Abh. Math. Semin. Univ. Hamb.4, 47–72 (1925)

    Google Scholar 

  • [Bu] Burau W.: Über Zopfgruppen und gleichsinnig verdrillte Verkettungen. Abh. Math. Semin. Hans. Univ.11, 171–178 (1936)

    Google Scholar 

  • [G] Garside, F.: The braid group and other groups. Q. J. Math., Oxf.20, 235–254 (1969)

    Google Scholar 

  • [H] Hartley, R.: On the classification of 3-braid links. Abh. Math. Semin. Univ. Hamb.50, 108–117 (1980)

    Google Scholar 

  • [J,1] Jones, V.:Braid groups. Hecke algebras and type II1 factors. (MSRI, Berkeley) preprint

  • [J,2] Jones, V.: A polynomial invariant for knots via von Neumann algebras. Bull. AMS12, 103–111 (1985)

    Google Scholar 

  • [Mo] Morton, H.: Infinitely many fibered knots with the same Alexander polynomial. Topology17, 101–104 (1978)

    Google Scholar 

  • [Mu] Murasugi, K.: On closed 3-braids. memoirs AMS No. 151 (1974). Am. Math. Soc., Providence, R.I.

    Google Scholar 

  • [Sc] Schreier, O.: Uber die GruppenA aBb=1. Abh. Math. Semin. Univ. Hamb.3, 167–169 (1923)

    Google Scholar 

  • [Sq] Squier, C.: The Burau representation is unitary. Proc. AMS90, (2) 199–202 (1984)

    Google Scholar 

  • [FYHLMO] Freyd and Yetter, Hoste, Lickorish and Millett, Ocneanu: A new polynomial invariant of knots and links. Ball AMS12, 239–246 (April, 1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Columbia University, 10027, New York, NY, USA

    Joan S. Birman

Authors
  1. Joan S. Birman
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by NSF grant # MCS 79-04715

Rights and permissions

Reprints and permissions

About this article

Cite this article

Birman, J.S. On the Jones polynomial of closed 3-braids. Invent Math 81, 287–294 (1985). https://doi.org/10.1007/BF01389053

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389053

Keywords

Search

Navigation