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Pin(2)-equivariant KO-theory and intersection forms of spin four-manifolds

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 نشر من قبل Jianfeng Lin
 تاريخ النشر 2014
  مجال البحث
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 تأليف Jianfeng Lin




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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 $pmSigma(2,3,6kpm1)$. Along the way, we also give an alternative proof of Furuta-Kametannis improvement of 10/8-theorem for closed spin-4 manifolds.



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