Face enumeration on flag complexes and flag spheres

Abstract

Algebraic and Geometric Combinatorics on Lattice Polytopes, pp. 435-449 (2019) No AccessFace enumeration on flag complexes and flag spheresHailun ZhengHailun ZhengDepartment of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043, USAhttps://doi.org/10.1142/9789811200489_0028Cited by:0 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: We give a survey on the recent results and problems on the face enumeration of flag complexes and flag simplicial spheres, with an emphasis on the characterization of face vectors of flag complexes, several lower-bound type of conjectures including the Charney-Davis conjecture and Gal's conjecture, and the upper bound conjecture for flag spheres and pseudomanifolds. Keywords: Flag complexesface enumerationγ-vectorcd-indexthe flag upper bound conjecture FiguresReferencesRelatedDetails Algebraic and Geometric Combinatorics on Lattice PolytopesMetrics History KeywordsFlag complexesface enumerationγ-vectorcd-indexthe flag upper bound conjecturePDF download

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