Invariants of generic immersions and Bernoulli numbers

Details Invariants of generic immersions and Bernoulli numbers Invariants of generic immersions and Bernoulli numbers

1999-04-08

arxiv.org/abs/math/9904031v1

Mathematics

Geometric Topology

21 pages, 1 figure

Scientific paper

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.

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