English

On self-intersection invariants

Algebraic Topology 2012-08-10 v2

Abstract

We prove that the Hatcher-Quinn and Wall invariants of a self-transverse immersion f\coNn\immM2nf\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\coNn\immM2n1f\co N^n\imm M^{2n-1}.

Keywords

Cite

@article{arxiv.1111.3248,
  title  = {On self-intersection invariants},
  author = {Mark Grant},
  journal= {arXiv preprint arXiv:1111.3248},
  year   = {2012}
}

Comments

14 pages. v2: Final version, to appear in Glasgow Math. J

R2 v1 2026-06-21T19:35:47.863Z