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On the Vanishing of the Third Spin Cobordism Group \(\Omega _3^{{\text{Spin}}}\)

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Abstract

An elementary proof of the theorem given in the title is presented. Bibliography: 6 titles.

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REFERENCES

  1. R. Gompf and A. Stipsicz, 4-Manifolds and Kirby Calculus (Graduate Stud. Math., 20), Amer. Math. Soc., Providence (1999).

  2. L. Guillou and A. Marin (eds.), A la Recherche de la Topologie Perdue (Progress Math., 62), Birkh¨ auser, Boston-Basel-Stuttgart (1986).

  3. R. Kirby, “The topology of 4-manifolds,” Lect. Notes Math., 1374(1989).

  4. R. Kirby and M. Scharlemann, “Eight faces of the Poincaré homology sphere,” in: Geometric Topology (Proc. 1977 Georgia Topology Conference), Academic Press (1979), pp. 147–218.

  5. A. Szucs, “Two theorems of Rokhlin,” this volume.

  6. A. Szucs, “The fourth oriented cobordism group 4 is isomorphic to Z,” this volume.

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  1. Eötvös Lorand University, Hungary

    A. Stipsicz

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  1. A. Stipsicz
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Stipsicz, A. On the Vanishing of the Third Spin Cobordism Group \(\Omega _3^{{\text{Spin}}}\) . Journal of Mathematical Sciences 113, 898–905 (2003). https://doi.org/10.1023/A:1021212108055

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  • DOI: https://doi.org/10.1023/A:1021212108055

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