Skip to main content

Handlebodies and 2-complexes

Part of the Lecture Notes in Mathematics book series (LNM,volume 1167)

Keywords

  • Boundary Component
  • Finger Move
  • Gauge Field Theory
  • Regular Neighborhood
  • Simple Homotopy

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. J. Andrews and M. Curtis, Free groups and handlebodies, Proc. AMS 16 (1965), 192–195.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. A. Casson and M. Freedman, Atomic surgery problems, to appear.

    Google Scholar 

  3. J. Cohen, Complexes dominated by a 2-complex, Topology 16 (1977), 409–416.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. S. Donaldson, An application of gauge theory to the topology of 4-manifolds, J. Diff. Geometry, to appear

    Google Scholar 

  5. M. Freedman, The topology of four-dimensional manifolds, J. Diff. Geom. 17 (1982), 357–453.

    MathSciNet  MATH  Google Scholar 

  6. M. Gerstenhaber and O. Rothaus, The solution sets of equations in a group. Proc. Nat. Acad. Sci. USA 48 (1962), 1531–1533.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. A Hatcher and J. Wagoner, Pseudoisotopies of compact manifolds, Soc. Math. France, Asterisque 6 (1973).

    Google Scholar 

  8. S. Kaplan, Realizing simply connected 4-manifolds by blowing down, Topology 19 (1980), 411–417.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. R. Kirby, A calculus for framed links in S3, Inven. Math 45 (1978), 35–56.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. W. Metzler, On the Andrews-Curtis conjecture and related problems, to appear in combinatorial methods in topology and algebraic geometry, AMS Contemporary Math. Series.

    Google Scholar 

  11. D. Quillen, Cohomology of groups, Act. Cong. Int. des Math., vol. II, Gauthier-Villars, Paris, 1971-47–51.

    MATH  Google Scholar 

  12. F. Quinn, Ends of maps III: dimensions 4 and 5, J. Diff. Geom. 17 (1982), 503–521.

    MathSciNet  MATH  Google Scholar 

  13. ___, Smooth structures on 4-manifolds, to appear in Proc. AMS conference on 4-manifolds, New Hampshire, 1982.

    Google Scholar 

  14. J. Thévenaz, Extensions of group representations from a normal subgroup, Comm. in Algebra 11 (1983), 381–425.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. C.T.C. Wall, Formal deformations, Proc. London Math. Soc. (3) 16 (1966), 342–352.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. ___, Finiteness conditions for CW complexes, I Ann. Math, 81 (1965), 56–69, II Proc. Roy, Soc. A 295 (1966), 129–139.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. ___, Geometrical connectivity, J. London Math. Soc. (2) 3 (1972), 271–294.

    Google Scholar 

  18. P. Wright, Group presentations and formal deformations, Trans. AMS 208 (1975), 161–169.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Quinn, F. (1985). Handlebodies and 2-complexes. In: Geometry and Topology. Lecture Notes in Mathematics, vol 1167. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075228

Download citation

  • DOI: https://doi.org/10.1007/BFb0075228

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16053-3

  • Online ISBN: 978-3-540-39738-0

  • eBook Packages: Springer Book Archive