Mathematical Research Letters

Volume 8, Issue 3, May 2001 pp. 293-301.

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

Authors: M. Furuta, Y. Kametani, and H. Matsue
Author institution: University of Tokyo, Keio University, and Seijo University

Summary: 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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