Abstract
Using the Seiberg–Witten Floer spectrum and –equivariant –theory, we prove new Furuta-type inequalities on the intersection forms of spin cobordisms between homology –spheres. We then give explicit constrains on the intersection forms of spin –manifolds bounded by Brieskorn spheres . Along the way, we also give an alternative proof of Furuta’s improvement of –theorem for closed spin –manifolds.
Citation
Jianfeng Lin. "$\mathrm{Pin}(2)$–equivariant KO–theory and intersection forms of spin $4$–manifolds." Algebr. Geom. Topol. 15 (2) 863 - 902, 2015. https://doi.org/10.2140/agt.2015.15.863
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