Mathematische Annalen

, Volume 359, Issue 3–4, pp 695–728 | Cite as

On the intersection forms of spin four-manifolds with boundary

Article

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 \(\mathrm{Pin }(2)\)-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.

Mathematics Subject Classification (2000)

57R58 57R57 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of MathematicsUCLALos AngelesUSA

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