Algebraic & Geometric Topology 1 (2001) 549–578

DOI: 10.2140/agt.2001.1.549

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

Primary: 57N13

Secondary: 57M50, 57M60

References

Forward citations

Publication

Received: 18 July 2001
Revised: 5 October 2001
Accepted: 5 October 2001
Published: 14 October 2001

Authors