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

Masaaki Ue

doi:10.2140/agt.2001.1.549

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

Masaaki Ue

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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.

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Masaaki Ue. 2001-10-17. On the intersection forms of spin 4-manifolds bounded by spherical 3-manifolds. https://doi.org/10.2140/agt.2001.1.549

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