|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|
Show full item record
checked on May 29, 2023
checked on May 30, 2023
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.