title: Cyclopermutohedron: geometry and topology
metadata.name: dc.contributor.author
metadata.value: Zhukova, A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Nekrasov, I.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Panina, G.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-01-25T21:47:52Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-01-25T21:47:52Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-07
metadata.lang: -
metadata.name: dc.identifier.issn
metadata.value: 2199675X
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/5955
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The face poset of the permutohedron realizes the combinatorics of linearly ordered partitions of the set [InlineEquation not available: see fulltext.]. Similarly, the cyclopermutohedron is a virtual polytope that realizes the combinatorics of cyclically ordered partitions of the set [InlineEquation not available: see fulltext.]. The cyclopermutohedron was introduced by the second author by motivations coming from configuration spaces of polygonal linkages. In the paper we prove two facts: (a) the volume of the cyclopermutohedron equals zero, and (b) the homology groups Hk for k= 0 , … , n- 2 of the face poset of the cyclopermutohedron are non-zero free abelian groups. We also present a short formula for their ranks.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Springer International Publishing,
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: European Journal of Mathematics;2(3)
metadata.lang: -
metadata.name: dc.subject
metadata.value: Abel polynomial
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Discrete Morse theory
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Permutohedron
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Virtual polytope
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Cyclopermutohedron: geometry and topology
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: art%3A10.1007%2Fs40879-016-0107-3.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/5955/1/art%253A10.1007%252Fs40879-016-0107-3.pdf
resources.format: Adobe PDF
resources.size: 732,76 kB