Pin（2）-等变KO-理论与自旋四维流形的交形式
Pin(2)-equivariant KO-theory and intersection forms of spin four-manifolds
摘要：
利用Seiberg-Witten Floer谱和Pin（2）-等变KO-理论，证明了关于同调$3$ -球面间自旋配边相交形式的新的Furuta型不等式.作为应用，我们给出了以Brieskorn球面$\pmΣ(2,3,6k\pm1)$为界的自旋$4$ -流形的交形式的显式约束.在此过程中，我们还给出了Furuta-Kametanni对闭自旋4流形的10/8-定理的改进的另一种证明。
英文摘要：
Using Seiberg-Witten Floer spectrum and Pin(2)-equivariant KO-theory, we prove new Furuta-type inequalities on the intersection forms of spin cobordisms between homology $3$-spheres. As an application, we give explicit constrains on the intersection forms of spin $4$-manifolds bounded by Brieskorn spheres $\pmΣ(2,3,6k\pm1)$. Along the way, we also give an alternative proof of Furuta-Kametanni's improvement of 10/8-theorem for closed spin-4 manifolds.
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