Geodesic
Scanning for oriented configuration spaces
Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 35-66.

Voir la notice de l'article provenant de la source International Press of Boston

In [Pal13] the second author proved that the sequence of “oriented” configuration spaces on an open connected manifold exhibits homological stability as the number of particles goes to infinity. To complement that result we identify the corresponding limiting space, up to homology equivalence, as a certain explicit double cover of a section space. Along the way we also prove that the scanning map of [McD75] for unordered configuration spaces is acyclic in the limit.
DOI : 10.4310/HHA.2015.v17.n1.a2
Classification : 55R65, 55R80, 57N65
Keywords: oriented configuration space, alternating group, scanning, homology fibration, local coefficients, group completion 
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Jeremy Miller; Martin Palmer. Scanning for oriented configuration spaces. Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 35-66. doi : 10.4310/HHA.2015.v17.n1.a2. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n1.a2/

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