Euler series, Stirling numbers and the growth of the homology of the space of long links

Abstract

We study the Bousfield-Kan spectral sequence associated to the Munson-Volić cosimplicial model for the space of long links with $l$ strings in ${\mathbb{R}}^N$ . We compute explicitely some Euler-Poincaré series associated to the second page of that spectral sequence and deduce exponential growth of their Betti numbers.

13 pages; published in the Bulletin of the Belgian Mathematical Society

References in corpus (1)

• The rational homology of spaces of long knots in codimension >2