Topology of posets with special partial matchings

zbMath1411.05257MaRDI QIDQ5972103

Nancy Abdallah, Axel Hultman, Mikael Hansson

Publication date: 15 May 2019

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2018//64-Abdallah-Hansson-Hultman.html

zbMATH Keywords

PL topologytwisted identitiesspecial partial matchingquasiparabolic setspircons

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Abstract complexes in algebraic topology (55U05) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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• Fixed points of zircon automorphisms
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• Bruhat order of Coxeter groups and shellability
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• Combinatorial invariance of Kazhdan-Lusztig-Vogan polynomials for fixed point free involutions
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• The cd-index of Bruhat intervals.
• The intersection cohomology of Schubert varieties is a combinatorial invariant
• Deformations of permutation representations of Coxeter groups.
• An abstract model for Bruhat intervals
• Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions
• Algebraic and combinatorial properties of zircons
• Combinatorics of Coxeter Groups
• Shellable and Cohen-Macaulay Partially Ordered Sets
• A Combinatorial Characterization of Coxeter Groups
• Topology of posets with special partial matchings

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