On self-intersection invariants

Details On self-intersection invariants On self-intersection invariants

2011-11-14

arxiv.org/abs/1111.3248v1

Mathematics

Algebraic Topology

14 pages. Comments welcome

Scientific paper

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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