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Complete intersections as branched covers and the Kervaire invariant

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References

  1. Bott, R., Milnor, J.: On the parallelizability of spheres. Bull. Amer. Math. Soc.64, 87–89 (1958)

    Google Scholar 

  2. Browder, W.: Surgery on simply-connected manifolds. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

  3. Browder, W.: Complete intersections and the Kervaire invariant. Proc. Aarhus Topology Conference 1978 (to appear)

  4. Brown, E., Peterson, F.: The Kervaire invariant of (8k + 2)-manifolds. Bull. Amer. Math. Soc.71, 190–193 (1965)

    Google Scholar 

  5. Haefliger, A.: Differentiable imbeddings. Bull. Amer. Math. Soc.67, 109–112 (1961)

    Google Scholar 

  6. Haefliger, A.: Knotted spheres and related geometric problems. Proc. Int. Cong. Math. Moscow 437–445 (1966)

  7. Kulkarni, R., Wood, J.: Topology of nonsingular complex hypersurfaces (preprint) (1975)

  8. Libgober, A.: A geometric procedure for killing the middle dimensional homology groups of algebraic hypersurfaces. Proc. Amer. Math. Soc.63, 198–202 (1977)

    Google Scholar 

  9. Massey, W.: Proof of a conjecture of Whitney. Pacific J. Math.31, 143–156 (1969)

    Google Scholar 

  10. Milnor, J.: Morse theory. Annals of Math. Studies 51. Princeton: University Press 1963

    Google Scholar 

  11. Morita, S.: The Kervaire invariant of hypersurfaces in complex projective space. Comment. Math. Helv.50, 403–419 (1975)

    Google Scholar 

  12. van der Waerden, B.L.: Einführung in die algebraische Geometrie. Berlin: Springer 1939, New York: Chelsea 1955

    Google Scholar 

  13. Wall, C.T.C.: Classification of (n - 1)-connected 2n-manifolds. Ann. of Math.75, 163–189 (1962)

    Google Scholar 

  14. Whitney, H.: The self-intersections of a smoothn-manifold in 2n-space. Ann. of Math.45, 220–246 (1944)

    Google Scholar 

  15. Wood, J.: Removing handles from nonsingular algebraic hypersurfaces inCP n+1. Invent. Math.31, 1–6 (1975)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 60680, Chicago, IL, USA

    John W. Wood

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  1. John W. Wood
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Research partially supported by the National Science Foundation

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Wood, J.W. Complete intersections as branched covers and the Kervaire invariant. Math. Ann. 240, 223–230 (1979). https://doi.org/10.1007/BF01362312

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