On the intersection forms of spin four-manifolds with boundary
Geometric Topology
2014-01-15 v4
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.
Keywords
Cite
@article{arxiv.1305.4667,
title = {On the intersection forms of spin four-manifolds with boundary},
author = {Ciprian Manolescu},
journal= {arXiv preprint arXiv:1305.4667},
year = {2014}
}
Comments
fixed Lemma 3.8 and changed Definition 4.2