Geodesic
Multivariable cochain operations and little 𝑛-cubes
McClure, James 1   ; Smith, Jeffrey 1
1 Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, Indiana 47907-2067
Journal of the American Mathematical Society, Tome 16 (2003) no. 3, pp. 681-704 Cet article a éte moissonné depuis la source American Mathematical Society

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In this paper we construct a small $E_\infty$ chain operad $\mathcal {S}$ which acts naturally on the normalized cochains $S^*X$ of a topological space. We also construct, for each $n$, a suboperad $\mathcal {S}_n$ which is quasi-isomorphic to the normalized singular chains of the little $n$-cubes operad. The case $n=2$ leads to a substantial simplification of our earlier proof of Deligne’s Hochschild cohomology conjecture.
DOI : 10.1090/S0894-0347-03-00419-3

McClure, James  1   ; Smith, Jeffrey  1

1 Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, Indiana 47907-2067 
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McClure, James; Smith, Jeffrey. Multivariable cochain operations and little 𝑛-cubes. Journal of the American Mathematical Society, Tome 16 (2003) no. 3, pp. 681-704. doi: 10.1090/S0894-0347-03-00419-3

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