DC Field | Value | Language |
---|---|---|
dc.contributor.author | Limonchenko, Ivan | en_US |
dc.date.accessioned | 2024-02-02T13:06:14Z | - |
dc.date.available | 2024-02-02T13:06:14Z | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 0081-5438 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/5277 | - |
dc.description.abstract | We prove that certain conditions on multigraded Betti numbers of a simplicial complex K imply the existence of a higher Massey product in the cohomology of a moment-angle complex ZK, and this product contains a unique element (a strictly defined product). Using the simplicial multiwedge construction, we find a family ℱ of polyhedral products being smooth closed manifolds such that for any l, r ≥ 2 there exists an l-connected manifold M∈ ℱ with a nontrivial strictly defined r-fold Massey product in H*(M). As an application to homological algebra, we determine a wide class of triangulated spheres K such that a nontrivial higher Massey product of any order may exist in the Koszul homology of their Stanley–Reisner rings. As an application to rational homotopy theory, we establish a combinatorial criterion for a simple graph Γ to provide a (rationally) formal generalized moment-angle manifold ZPJ=(D¯2ji,S¯2ji−1)∂P*J = (j1,…,jm), over a graph-associahedron P = PΓ, and compute all the diffeomorphism types of formal moment-angle manifolds over graph-associahedra. | en_US |
dc.publisher | Springer Link | en_US |
dc.relation.ispartof | Proceedings of the Steklov Institute of Mathematics | en_US |
dc.title | On Higher Massey Products and Rational Formality for Moment—Angle Manifolds over Multiwedges | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1134/S008154381903009X | - |
dc.identifier.scopus | 2-s2.0-85073630894 | - |
dc.relation.firstpage | 161 | - |
dc.relation.lastpage | 181 | - |
dc.relation.volume | 305 | - |
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 | - |
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