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

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

References

Forward citations

Publication

Received: 18 July 2001

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

Volume 1, issue 1 (2001)

Masaaki Ue