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arxiv: 1111.3248 · v2 · pith:Z3TP6BBZnew · submitted 2011-11-14 · 🧮 math.AT

On self-intersection invariants

classification 🧮 math.AT
keywords hatcher-quinnimmersioninvariantsbordismcarriescoincideconstructemploy
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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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