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https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00018362
2022-12-14T04:16:20Z
1169:1170
On the homology of configuration spaces associated to center of mass
Tamaki, Dai
Arrangements of Hyperplanes — Sapporo 2009
The aim of this paper is to make sample computations with the Salvetti complex of the “center of mass” arrangement introduced in [CK07] by Cohen and Kamiyama. We compute the homology of the Salvetti complex of these arrangements with coefficients in the sign representation of the symmetric group on Fp in the case of four particles. We show, when p is an odd prime, the homology is isomorphic to the homology of the configuration space F(C; 4) of distinct four points in C with the same coefficients. When p = 2, we show the homology is different from the equivariant homology of F(C; 4), hence we obtain an alternative and more direct proof of a theorem of Cohen and Kamiyama in [CK07].
Article
Advanced Studies in Pure Mathematics. 62:417-457 (2011)
Mathematical Society of Japan
2011-10
eng
journal article
VoR
http://hdl.handle.net/10091/00019124
https://soar-ir.repo.nii.ac.jp/records/18362
BA00184596
https://doi.org/10.2969/aspm/06210417
0920-1971
Advanced Studies in Pure Mathematics
62
417
457
https://soar-ir.repo.nii.ac.jp/record/18362/files/On_the_homology_of_configuration_spaces_associated.pdf
application/pdf
235.0 kB
2016-08-29