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dc.contributor.authorBlagojević, Pavleen
dc.contributor.authorLück, Wolfgangen
dc.contributor.authorZiegler, Günteren
dc.date.accessioned2020-04-26T19:36:32Z-
dc.date.available2020-04-26T19:36:32Z-
dc.date.issued2014-01-01en
dc.identifier.issn1753-8416en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/564-
dc.description.abstractWe study the Fadell-Husseini index of the configuration space F(Rd, n) with respect to various subgroups of the symmetric group Sn. For p prime and k ≥ 1, we compute IndexZ/p(F(Rd, p); Fp) and partially describe Index(Z/p)k (F(Rd, pk); Fp). In this process, we obtain results of independent interest, including: (1) an extended equivariant Goresky-MacPherson formula, (2) a complete description of the top homology of the partition lattice Πp as an Fp[Zp]-module, and (3) a generalized Dold theorem for elementary abelian groups. The results on the Fadell-Husseini index yield a new proof of the Nandakumar and Ramana Rao conjecture for primes. For n = pk a prime power, we compute the Lusternik-Schnirelmann category cat(F(Rd, n)/Sn) = (d - 1)(n - 1). Moreover, we extend coincidence results related to the Borsuk-Ulam theorem, as obtained by Cohen and Connett, Cohen and Lusk, and Karasev and Volovikov.en
dc.publisherLondon Mathematical Society-
dc.relationAdvanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security-
dc.relationEuropean Union’s Seventh Framework Programme (FP7/2007–2013)/ERC Grant agreement no. 247029-SDModels-
dc.relation.ispartofJournal of Topologyen
dc.titleEquivariant topology of configuration spacesen
dc.typeArticleen
dc.identifier.doi10.1112/jtopol/jtv002en
dc.identifier.scopus2-s2.0-84930848978en
dc.relation.firstpage414en
dc.relation.lastpage456en
dc.relation.issue2en
dc.relation.volume8en
dc.description.rankM21a-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.grantfulltextnone-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174008e.php-
crisitem.project.fundingProgramDirectorate for Education & Human Resources-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NSF/Directorate for Education & Human Resources/1740089-
crisitem.author.orcid0000-0003-3649-9897-
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