Invariants of generic immersions and Bernoulli numbers
Abstract
Description
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.
21 pages, 1 figure
21 pages, 1 figure