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A new technique for the link slice problem

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References

  • [C] Casson, A.J.: Three lectures on new infinite constructions in 4-dimensional manifolds. (Notes by L. Guillou), Orsay Lecture Notes, 57R65-57R80 (1980)

  • [CF] Casson, A., Freedman, M.: Atomic surgery problems, Proc. AMS Low Dimensional Topology, Durham, New Hampshire, ed. C. Gordon (1982)

  • [Ch] Chen, K.-T.: Isotopy invariants of links. Ann. Math.56, 343–353 (1952)

    Google Scholar 

  • [E] Edwards, R.: The solution of the 4-dimensional annulus conjecture (after Frank Quinn), To appear in proceedings of conference, Durham, New Hampshire, (1982)

  • [F1] Freedman, M.H.: A fakeS 3 ×R. Ann. Math.110, 177–201 (1979)

    Google Scholar 

  • [F2] Freedman, M.H.: A surgery sequence in dimension four; the relations with knot concordance. Invent. Math.68, 195–226 (1982)

    Google Scholar 

  • [F3] Freedman, M.H.: The topology of four-dimensional manifolds. J. Differ. Geom.,17, 357–453 (1982)

    Google Scholar 

  • [F4] Freedman, M.H.: The disk theorem for four-dimensional manifolds. Proc. Intl. Congress Math., Warsaw, Poland, pp. 647–663 (1983)

  • [FQ] Freedman, M., Quinn, F.: The topology of 4-dimensional manifolds. Ann. Math. Stud. Ser. (To appear)

  • [J] Johannson, K.: Homotopy equivalence of 3-manifolds with boundaries. Lecture Notes in Math., no 7761. Berlin-Heidelberg-New York: Springer 1979

    Google Scholar 

  • [K] Kirby, R.: A calculus for framed links inS 3 Invent. Math.45, 35–56 (1978)

    Google Scholar 

  • [K1] Kobayashi, K.: On a homotopy version of 4-dimensional Whitney's lemma. Math. Sci. Notes5, 109–116 (1977)

    Google Scholar 

  • [M] Milnor, J.: Link groups. Ann. Math.59, 177–195 (1954)

    Google Scholar 

  • [S] Stallings, J.: Homology and central series of groups. J. Algebra2, 170–181 (1965)

    Google Scholar 

  • [W] Wall, C.T.C.: Surgery on compact manifolds. New York: Academic Press 1970

    Google Scholar 

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Authors and Affiliations

  1. University of California, 92093, San Diego, La Jolla, CA, USA

    Michael H. Freedman

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  1. Michael H. Freedman
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The author has been supported in this work by: the University of California, San Diego; NSF Grant MCS82-03126; A.P. Sloan Fellowship BR2065; and the University of Texas at Austin where this approach had its first glimmer of success; the untwisted double of the trefoil knot being sliced there in November 1982. This preceded (but only by two weeks) the slicing of the general Alexander polynomial=1-knot using different methods [F4]

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Freedman, M.H. A new technique for the link slice problem. Invent Math 80, 453–465 (1985). https://doi.org/10.1007/BF01388725

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