Enumerating normal bundles of immersions and embeddings of projective spaces

Lawrence Louis Larmore and Robert David Rigdon

Vol. 70 (1977), No. 1, 207–220

DOI: 10.2140/pjm.1977.70.207

Abstract

All normal bundles of immersions P^m → R^2m−𝜖 for m ≧ 7, 𝜖 ≦ 2 are classified. Those represented by embeddings are identified, and, for 𝜖 ≦ 1, those which compress to an immersion P^m → R^{2m−𝜖−1} are identified.

Mathematical Subject Classification

Primary: 57D40, 57D40

Milestones

Received: 11 August 1975

Published: 1 May 1977