Mathematical Research Letters

Volume 8 (2001)

Number 3

Spin $4$-manifolds with signature$=-32$

Pages: 293 – 301

DOI: http://dx.doi.org/10.4310/MRL.2001.v8.n3.a6

Authors

M. Furuta (University of Tokyo)

Y. Kametani (Keio University)

H. Matsue (Seijo University)

Abstract

We show that if $X$ is a closed spin 4-manifold with $\sign(X)=-32$, then $X$ satisfies $b_2(X) \geq 44=(11/8) |\sign(X)|$.}

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