Homotopy type of skeleta of the flag complex over a finite vector space and generalized Galois numbers

DOI10.1007/s41468-020-00049-9OpenAlexW3005906267MaRDI QIDQ2304021

Yanyan Li

Publication date: 6 March 2020

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41468-020-00049-9

zbMATH Keywords

discrete Morse theoryflag complexacyclic pairinggeneralized Galois number

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Classification of homotopy type (55P15) Critical points and critical submanifolds in differential topology (57R70)

Cites Work

• An enumeration of flags in finite vector spaces
• On optimizing discrete Morse functions
• Type d'homotopie des treillis et treillis des sous-groupes d'un groupe fini. (Homotopy type of lattices and lattices of subgroups of a finite groups)
• Complexes of not \(i\)-connected graphs
• A user's guide to discrete Morse theory
• Quotient complexes and lexicographic shellability
• The number of flags in finite vector spaces: asymptotic normality and Mahonian statistics
• Simplicial complexes of graphs
• Asymptotics of generalized Galois numbers via affine Kac-Moody algebras
• Discrete Morse functions from lexicographic orders
• Shellable Nonpure Complexes and Posets. I
• Monomial Ideals
• Collapsibility of Δ(Π_{𝑛})/𝒮_{𝓃} and some related CW complexes
• Combinatorial algebraic topology
• Discrete Morse theory for complexes of 2-connected graphs

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