On self-intersection invariants

Mark Grant

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arXiv · 1111.3248

On self-intersection invariants

Mark Grant

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Abstract

We prove that the Hatcher-Quinn and Wall invariants of a self-transverse immersion $f\co N^n\imm M^{2n}$ coincide. That is, we construct an isomorphism between their target groups which carries one onto the other. We also employ methods of normal bordism theory to investigate the Hatcher-Quinn invariant of an immersion $f\co N^n\imm M^{2n-1}$.

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Mark Grant. 2011-11-14. On self-intersection invariants. https://arxiv.org/abs/1111.3248

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