The existence of 𝐾(𝜋,1)4-manifolds which are rational homology 4-spheres

Luo, Feng

doi:10.1090/S0002-9939-1988-0969062-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The existence of $K(\pi , 1)\;4$-manifolds which are rational homology $4$-spheres
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by Feng Luo

Proc. Amer. Math. Soc. 104 (1988), 1315-1321

DOI: https://doi.org/10.1090/S0002-9939-1988-0969062-1

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Abstract:

We construct rational homology $4$-sphere manifolds with contractible universal cover.

References

Rob Kirby, Problems in low dimensional manifold theory, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 273–312. MR 520548
Mark D. Meyerson, Representing homology classes of closed orientable surfaces, Proc. Amer. Math. Soc. 61 (1976), no. 1, 181–182 (1977). MR 425967, DOI 10.1090/S0002-9939-1976-0425967-3