DC Field | Value | Language |
---|---|---|
dc.contributor.author | Limonchenko, Ivan | en_US |
dc.date.accessioned | 2024-02-02T13:58:41Z | - |
dc.date.available | 2024-02-02T13:58:41Z | - |
dc.date.issued | 2013 | - |
dc.identifier.issn | 0001-4346 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/5283 | - |
dc.description.abstract | The bigraded Betti numbers β−i,2j (P ) of a simple polytope P are the dimensions of the bigraded components of the Tor groups of the face ring k[P ]. The numbers β−i,2j (P ) reflect the combinatorial structure of P , as well as the topological structure of the corresponding moment-angle manifold ZP ; thus, they find numerous applications in combinatorial commutative algebra and toric topology. We calculate certain bigraded Betti numbers of the type β−i,2(i+1) for associahedra and apply the calculation of bigraded Betti numbers for truncation polytopes to study the topology of their moment-angle manifolds. Presumably, for these two series of simple polytopes, the numbers β−i,2j (P ) attain their minimum and maximum values among all simple polytopes P of fixed dimension with a given number of facets. | en_US |
dc.publisher | Springer Link | en_US |
dc.relation.ispartof | Mathematical Notes | en_US |
dc.subject | bigraded Betti numbers of a simple polytope | simple convex polytope | Stasheff polytope | associahedron | truncation polytope | stacked polytope | moment-angle manifold | en_US |
dc.title | Bigraded Betti numbers of certain simple polytopes | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1134/S000143461309006X | - |
dc.relation.firstpage | 351 | - |
dc.relation.lastpage | 363 | - |
dc.relation.volume | 94 | - |
dc.description.rank | M23 | - |
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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