Cycle-free chessboard complexes and symmetric homology of algebras

Details Cycle-free chessboard complexes and symmetric homology of algebras Cycle-free chessboard complexes and symmetric homology of algebras

2007-10-27

arxiv.org/abs/0710.5252v3

Mathematics

Algebraic Topology

This is an extended version where the tightness of the bound in the case n=3k+2 is established

Scientific paper

Chessboard complexes and their relatives have been one of important recurring themes of topological combinatorics. Closely related ``cycle-free chessboard complexes'' have been recently introduced by Ault and Fiedorowicz 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 of Ault and Fiedorowicz.

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