Manifold-theoretic compactifications of configuration spaces
type: Item
instance of: scholarly article
title: Manifold-theoretic compactifications of configuration spaces
zbMATH Open document ID: 1061.55013
author: Dev P. Sinha
published in: Selecta Mathematica. New Series
publication date: 2005-02-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0306385
review text: Let \(M\) denote a smooth manifold, assumed to lie in some Euclidean space. The author presents alternative descriptions of \(C_{n}[M]\), the canonical compactification of the space of configurations of n points in \(M\). These allow the introduction of global coordinates, and using them, the description of a stratification of \(C_{n}[M]\). \(C_{n}[M]\) is shown to be homotopy equivalent to the simplicial compactification. The global coordinates are used to prove projection and diagonal maps satisfy co-simplicial identities.
reviewed by: Lee P. Neuwirth
Mathematics Subject Classification ID: 55R80
Mathematics Subject Classification ID: 55T99
zbMATH DE Number: 2138515
zbMATH Keywords: configuration space
zbMATH Keywords: compactification
zbMATH Keywords: stratification
zbMATH Keywords: diagonal map
zbMATH Keywords: tangent space
MaRDI profile type: Publication
OpenAlex ID: W2139697118
arXiv ID: math/0306385
DOI: 10.1007/S00029-004-0381-7
description: scientific article