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arXiv · 1401.3264

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

Jianfeng Lin
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Abstract

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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BibTeXRIS

Jianfeng Lin. 2014-07-09. Pin(2)-equivariant KO-theory and intersection forms of spin four-manifolds. https://doi.org/10.2140/agt.2015.15.863

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