Geodesic
On the intersection forms of spin 4–manifolds bounded by spherical 3–manifolds
Ue, Masaaki1
1Division of Mathematics, Faculty of Integrated Human Studies, Kyoto University, Kyoto, 606-8316, Japan
Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 549-578
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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.

DOI : 10.2140/agt.2001.1.549
Keywords: spin 4–manifold, spherical 3–manifold, Dirac operator

Ue, Masaaki  1

1 Division of Mathematics, Faculty of Integrated Human Studies, Kyoto University, Kyoto, 606-8316, Japan 
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Ue, Masaaki. On the intersection forms of spin 4–manifolds bounded by spherical 3–manifolds. Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 549-578. doi: 10.2140/agt.2001.1.549

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