Homology, Homotopy and Applications
Volume 17 (2015)
Homology of non-$k$-overlapping discs
Pages: 261 – 290
In this paper we describe the homology and cohomology of some natural bimodules over the little discs operad, whose components are configurations of non-$k$-overlapping discs. At the end we briefly explain how this algebraic structure intervenes in the study of spaces of non-$k$-equal immersions.
little discs operad, bimodule, configuration space
2010 Mathematics Subject Classification
05E18, 18D50, 57R40, 57R42