Cycle-free chessboard complexes and symmetric homology of algebras

Authors:
Siniša T. Vrećica;Rade T. ivaljević
Affiliations:
Faculty of Mathematics, University of Belgrade, Serbia;Mathematical Institute, SANU, Belgrade, Serbia
Venue:
European Journal of Combinatorics
Year:
2009

Citing 6
Cited 1

The colored Tverberg's problem and complexes of injective functions

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On the Betti Numbers of Chessboard Complexes

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Cohen-macaulay complexes and group actions.

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Decompositions and Connectivity of Matching and Chessboard Complexes

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Chessboard complexes indomitable

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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].