Inventiones mathematicae

, Volume 122, Issue 1, pp 531–557

4-Manifold topology II: Dwyer's filtration and surgery kernels

  • Michael H. Freedman
  • Peter Teichner

DOI: 10.1007/BF01231455

Cite this article as:
Freedman, M.H. & Teichner, P. Invent Math (1995) 122: 531. doi:10.1007/BF01231455


Even when the fundamental group is intractable (i.e. not “good”) many interesting 4-dimensional surgery problems have topological solutions. We unify and extend the known examples and show how they compare to the (presumed) counterexamples by reference to Dwyer's filtration on second homology. The development brings together many basic results on the nilpotent theory of links. As a special case, a class of links only slightly smaller than “homotopically trivial links” is shown to have (free) slices on their Whitehead doubles.

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Michael H. Freedman
    • 1
  • Peter Teichner
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaSan Diego, La JollaUSA
  2. 2.Fachbereich MathematikUniversität MainzMainzGermany

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