Constraints on intersection forms of spin 4-manifolds bounded by Seifert rational homology 3-spheres in terms of $\barμ$ and $κ$ invariants

Masaaki Ue

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arXiv · 2206.05412

Constraints on intersection forms of spin 4-manifolds bounded by Seifert rational homology 3-spheres in terms of $\barμ$ and $κ$ invariants

Masaaki Ue

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Abstract

We give some constraints on intersection forms of spin 4-manifolds bounded by Seifert rational homology 3-spheres in terms of the $\barμ$ invariant and compare them with those in terms of the $κ$ invariant. We also show that the difference between $κ$ and $-\barμ$ for a Seifert rational homology 3-sphere is at most 2, and under certain extra conditions the difference is 0.

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Masaaki Ue. 2022-06-11. Constraints on intersection forms of spin 4-manifolds bounded by Seifert rational homology 3-spheres in terms of $\barμ$ and $κ$ invariants. https://arxiv.org/abs/2206.05412

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