On the intersection forms of spin four-manifolds with boundary

Ciprian Manolescu

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arXiv · 1305.4667

On the intersection forms of spin four-manifolds with boundary

Ciprian Manolescu

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Abstract

We prove Furuta-type bounds for the intersection forms of spin cobordisms between homology 3-spheres. The bounds are in terms of a new numerical invariant of homology spheres, obtained from Pin(2)-equivariant Seiberg-Witten Floer K-theory. In the process we introduce the notion of a Floer K_G-split homology sphere; this concept may be useful in an approach to the 11/8 conjecture.

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Ciprian Manolescu. 2013-05-20. On the intersection forms of spin four-manifolds with boundary. https://arxiv.org/abs/1305.4667

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