Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cycle-free chessboard complexes and symmetric homology of algebras   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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The categories of this paper are: cs
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ