Open this publication in new window or tab >>2019 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 348, p. 255-276Article in journal (Refereed) Published
Abstract [en]
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.
Place, publisher, year, edition, pages
Academic Press, 2019
Keywords
Topology of pircons; Special partial matching; Twisted identities
National Category
Geometry
Identifiers
urn:nbn:se:liu:diva-157522 (URN)10.1016/j.aim.2019.02.031 (DOI)000466835800008 ()2-s2.0-85063074385 (Scopus ID)
Note
Funding Agencies|Wenner-Gren Foundations [UPD2016-0096]
2019-06-202019-06-202019-06-24Bibliographically approved