Skip to main content
Log in

Conjugacy relations in subgroups of the mapping class group and a group-theoretic description of the Rochlin invariant

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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.

References

  1. Artin, E.: Geometric algebra. New York: Interscience 1957

    Google Scholar 

  2. Arf, C.: Untersuchungen über quadratische Formen in Körpern der Charakteristik 2. Crelles Math. J.183, 148–167 (1941)

    Google Scholar 

  3. Birman, J.: Braids, links, and mapping class groups. Annals of Mathematical Studies. Princeton: Princeton University Press 1975

    Google Scholar 

  4. Birman, J.: group of homeomorphisms of a closed, oriented 2-manifold. Trans. Amer. Math. Soc.237, 283–309 (1978)

    Google Scholar 

  5. Johnson, D.: Homeomorphisms of a surface which act trivially on homology. Proc. Amer. Math. Soc.75, 119–125 (1979)

    Google Scholar 

  6. Johnson, D.: Quadratic forms and the Birman-Craggs homomorphisms. Trans. Amer. Math. Soc. (to appear)

  7. Johnson, D.: An abelian quotient of the mapping class groupI g . Math. Ann.249, 225–242 (1980)

    Google Scholar 

  8. Lickorisch, W.B.R.: A representation of orientable combinatorial 3-manifolds. Ann. of Math.76, 531–540 (1962)

    Google Scholar 

  9. Magnus, W., Karass, A., Solitar, D.: Combinatorial group theory. New York: Interscience 1966

    Google Scholar 

  10. Powell, J.: Two theorems on the mapping class group of surfaces. Proc. Amer. Math. Soc.68, 347–350 (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper presents the results of one phase of research carried out at the Jet Propulsion Laboratory, California Institute of Technology, under Contract NAS 7-100, sponsored by National Aeronautics and Space Administration

Rights and permissions

Reprints and permissions

About this article

Cite this article

Johnson, D. Conjugacy relations in subgroups of the mapping class group and a group-theoretic description of the Rochlin invariant. Math. Ann. 249, 243–263 (1980). https://doi.org/10.1007/BF01363898

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01363898

Keywords

Navigation