DC Field | Value | Language |
---|---|---|
dc.contributor.author | Limonchenko, Ivan | en_US |
dc.date.accessioned | 2024-02-02T13:17:52Z | - |
dc.date.available | 2024-02-02T13:17:52Z | - |
dc.date.issued | 2017 | - |
dc.identifier.issn | 0252-9599 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/5279 | - |
dc.description.abstract | The author constructs a family of manifolds, one for each n ≥ 2, having a nontrivial Massey n-product in their cohomology for any given n. These manifolds turn out to be smooth closed 2-connected manifolds with a compact torus Tm-action called moment-angle manifolds ZP, whose orbit spaces are simple n-dimensional polytopes P obtained from an n-cube by a sequence of truncations of faces of codimension 2 only (2-truncated cubes). Moreover, the polytopes P are flag nestohedra but not graph-associahedra. The author also describes the numbers β−i,2(i+1)(Q) for an associahedron Q in terms of its graph structure and relates it to the structure of the loop homology (Pontryagin algebra) H*(ΩZQ), and then studies higher Massey products in H*(ZQ) for a graph-associahedron Q. | en_US |
dc.publisher | Springer Link | en_US |
dc.relation.ispartof | Chinese Annals of Mathematics. Series B | en_US |
dc.subject | Flag nestohedra | Graph-associahedron | Massey products | Moment-angle manifold | Stanley-Reisner ring | en_US |
dc.title | Topology of moment-angle manifolds arising from flag nestohedra | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1007/s11401-017-1037-1 | - |
dc.identifier.scopus | 2-s2.0-85033709284 | - |
dc.relation.firstpage | 1287 | - |
dc.relation.lastpage | 1302 | - |
dc.relation.volume | 38 | - |
dc.description.rank | M22 | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.author.orcid | 0000-0002-2072-8475 | - |
SCOPUSTM
Citations
7
checked on Sep 8, 2024
Page view(s)
1
checked on Sep 7, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.