DC Field | Value | Language |
---|---|---|
dc.contributor.author | Baralić, Đorđe | en_US |
dc.contributor.author | Milenković, Lazar | en_US |
dc.date.accessioned | 2022-04-27T12:03:42Z | - |
dc.date.available | 2022-04-27T12:03:42Z | - |
dc.date.issued | 2022-04-01 | - |
dc.identifier.issn | 1660-5446 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/4796 | - |
dc.description.abstract | We prove that the duals of neighborly simplicial n-polytopes with the number of vertices greater than 2⌈n2⌉+2+[n2]-3 cannot appear as the orbit spaces of a small cover for all n∈ N. We investigate small covers and quasitoric manifolds over the duals of neighborly simplicial polytopes with small number of vertices in dimensions 4, 5, 6 and 7. In most of the considered cases, we obtain the complete classification of small covers. The lifting conjecture in all cases is verified to be true. The problem of C-rigidity for small covers is also studied and we have found a whole new series of ‘exceptional’ polytopes, which are polytopes such that small covers over them are classified up to a homeomorphism by their graded Z2-cohomology rings. New examples of manifolds provide the first known examples of quasitoric manifolds in higher dimensions whose orbit polytopes have chromatic numbers χ(Pn) ≥ 3 n- 5. | en_US |
dc.publisher | Springer Link | en_US |
dc.relation.ispartof | Mediterranean Journal of Mathematics | en_US |
dc.subject | neighborly polytopes | quasitoric manifolds | Small covers | the classification problem | the lifting conjecture | en_US |
dc.title | Small Covers and Quasitoric Manifolds over Neighborly Polytopes | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1007/s00009-022-01989-5 | - |
dc.identifier.scopus | 2-s2.0-85126732690 | - |
dc.contributor.affiliation | Mathematics | en_US |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | en_US |
dc.relation.firstpage | 87 | - |
dc.relation.issue | 2 | - |
dc.relation.volume | 19 | - |
dc.description.rank | ~M21 | - |
item.openairetype | Article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.orcid | 0000-0003-2836-7958 | - |
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