Homology of non-k-overlapping discs

Dobrinskaya, Natalya; Turchin, Victor

doi:10.4310/HHA.2015.v17.n2.a13

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Homology of non-k-overlapping discs

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Turchin, Victor
Max Planck Institute for Mathematics, Max Planck Society;

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http://dx.doi.org/10.4310/HHA.2015.v17.n2.a13
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1403.0881.pdf
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Citation

Dobrinskaya, N., & Turchin, V. (2015). Homology of non-k-overlapping discs. Homology, Homotopy and Applications, 17(2), 261-290. doi:10.4310/HHA.2015.v17.n2.a13.

Cite as: http://hdl.handle.net/21.11116/0000-0004-14EE-A

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-koverlapping discs. At the end we briefly explain how this algebraic structure intervenes in the study of spaces of non-k-equal immersions.