Homology of non-\(k\)-overlapping discs

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...

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Bibliographic Details
Published in:arXiv.org 2014-03
Main Authors: Dobrinskaya, Natalia, Tourtchine, Victor
Format: Article
Language:English
Subjects:
Homology
Online Access:Get full text
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Summary: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.
ISSN:2331-8422