Cycle-free chessboard complexes and symmetric homology of algebras
Abstrak
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].
Topik & Kata Kunci
Penulis (2)
S. Vrecica
R. Živaljević
Akses Cepat
- Tahun Terbit
- 2007
- Bahasa
- en
- Total Sitasi
- 12×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1016/j.ejc.2008.03.006
- Akses
- Open Access ✓