Invariants of generic immersions

Tobias Ekholm

Vol. 199 (2001), No. 2, 321–346

DOI: 10.2140/pjm.2001.199.321

Abstract

First order invariants of generic immersions of manifolds of dimension nm − 1 into manifolds of dimension n(m + 1) − 1, m,n > 1 are constructed using the geometry of self-intersections. The range of one of these invariants is related to Bernoulli numbers.

As by-products some geometrically defined invariants of regular homotopy are found.

Milestones

Received: 24 May 1999

Published: 1 June 2001