English

Homology of non-$k$-overlapping discs

Algebraic Topology 2014-03-05 v1 Combinatorics Geometric Topology

Abstract

In this paper we describe the homology and cohomology of some natural bimodules over the little discs operad, whose components are configurations of non-kk-overlapping discs. At the end we briefly explain how this algebraic structure intervenes in the study of spaces of non-kk-equal immersions.

Keywords

Cite

@article{arxiv.1403.0881,
  title  = {Homology of non-$k$-overlapping discs},
  author = {Natalia Dobrinskaya and Victor Tourtchine},
  journal= {arXiv preprint arXiv:1403.0881},
  year   = {2014}
}

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29 pages