DC Field | Value | Language |
---|---|---|
dc.contributor.author | Blagojević, Pavle | en |
dc.contributor.author | Lück, Wolfgang | en |
dc.contributor.author | Ziegler, Günter | en |
dc.date.accessioned | 2020-04-26T19:36:32Z | - |
dc.date.available | 2020-04-26T19:36:32Z | - |
dc.date.issued | 2014-01-01 | en |
dc.identifier.issn | 1753-8416 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/564 | - |
dc.description.abstract | We 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.publisher | London Mathematical Society | - |
dc.relation | Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security | - |
dc.relation | European Union’s Seventh Framework Programme (FP7/2007–2013)/ERC Grant agreement no. 247029-SDModels | - |
dc.relation.ispartof | Journal of Topology | en |
dc.title | Equivariant topology of configuration spaces | en |
dc.type | Article | en |
dc.identifier.doi | 10.1112/jtopol/jtv002 | en |
dc.identifier.scopus | 2-s2.0-84930848978 | en |
dc.relation.firstpage | 414 | en |
dc.relation.lastpage | 456 | en |
dc.relation.issue | 2 | en |
dc.relation.volume | 8 | en |
dc.description.rank | M21a | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | No Fulltext | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | none | - |
item.openairetype | Article | - |
crisitem.project.projectURL | http://www.mi.sanu.ac.rs/novi_sajt/research/projects/174008e.php | - |
crisitem.project.fundingProgram | Directorate for Education & Human Resources | - |
crisitem.project.openAire | info:eu-repo/grantAgreement/NSF/Directorate for Education & Human Resources/1740089 | - |
crisitem.author.orcid | 0000-0003-3649-9897 | - |
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