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Topology of posets ...
Topology of posets with special partial matchings
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- Abdallah, Nancy (author)
- Linköpings universitet,Matematik och tillämpad matematik,Linköpings Universitet
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- Hansson, Mikael, 1986- (author)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten,Linköpings Universitet
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- Hultman, Axel, 1975- (author)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten,Linköpings Universitet
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(creator_code:org_t)
- Academic Press, 2019
- 2019
- English.
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In: Advances in Mathematics. - : Academic Press. - 0001-8708 .- 1090-2082. ; 348, s. 255-276
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Abstract
Subject headings
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- Special partial matchings (SPMs) are a generalisation of Brentis special matchings. Let a pircon be a poset in which every non-trivial principal order ideal is finite and admits an SPM. Thus pircons generalise Mariettis zircons. We prove that every open interval in a pircon is a PL ball or a PL sphere. It is then demonstrated that Bruhat orders on certain twisted identities and quasiparabolic W-sets constitute pircons. Together, these results extend a result of Can, Cherniaysky, and Twelbeck, prove a conjecture of Hultman, and confirm a claim of Rains and Vazirani.
Subject headings
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
Keyword
- Topology of pircons; Special partial matching; Twisted identities
Publication and Content Type
- ref (subject category)
- art (subject category)
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