Authors: Vrećica, Siniša
Živaljević, Rade 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Cycle-free chessboard complexes and symmetric homology of algebras
Journal: European Journal of Combinatorics
Volume: 30
Issue: 2
First page: 542
Last page: 554
Issue Date: 1-Feb-2009
Rank: M21
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2008.03.006
Abstract: 
Chessboard complexes and their relatives have been an important recurring theme of topological combinatorics. Closely related "cycle-free chessboard complexes" have been recently introduced by Ault and Fiedorowicz in [S. Ault, Z. Fiedorowicz, Symmetric homology of algebras. arXiv:0708.1575v54 [math.AT] 5 Nov 2007; Z. Fiedorowicz, Question about a simplicial complex, Algebraic Topology Discussion List (maintained by Don Davis) http://www.lehigh.edu/~dmd1/zf93] as a tool for computing symmetric analogues of the cyclic homology of algebras. We study connectivity properties of these complexes and prove a result that confirms a strengthened conjecture from [S. Ault, Z. Fiedorowicz, Symmetric homology of algebras. arXiv:0708.1575v54 [math.AT] 5 Nov 2007].
Publisher: Elsevier
Project: Grants 144026 and 144014 of the Ministry for Science of Serbia

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