#### Volume 1, issue 1 (2001)

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On the intersection forms of spin 4–manifolds bounded by spherical 3–manifolds

### Masaaki Ue

Algebraic & Geometric Topology 1 (2001) 549–578
 arXiv: math.GT/0110179
##### Abstract

We determine the contributions of isolated singularities of spin $V$ 4–manifolds to the index of the Dirac operator over them. From these data we derive certain constraints on the intersection forms of spin 4–manifolds bounded by spherical 3–manifolds, and also on the embeddings of the real projective planes into 4–manifolds.

##### Keywords
spin 4–manifold, spherical 3–manifold, Dirac operator
##### Mathematical Subject Classification 2000
Primary: 57N13
Secondary: 57M50, 57M60
##### Publication
Revised: 5 October 2001
Accepted: 5 October 2001
Published: 14 October 2001
##### Authors
 Masaaki Ue Division of Mathematics Faculty of Integrated Human Studies Kyoto University Kyoto 606-8316 Japan