Multivariable cochain operations and little n-cubes

James E. McClure; Jeffrey H. Smith

Multivariable cochain operations and little n-cubes

量子代数 2007-05-23 v3 代数拓扑

作者: James E. McClure , Jeffrey H. Smith

摘要

This is a revision of a paper first posted June 4, 2001. It will appear in the Journal of the AMS. In this paper we construct a small $E_\infty$ chain operad $\S$ which acts naturally on the normalized cochains $S^*X$ of a topological space. We also construct, for each $n$ , a suboperad $\S_n$ 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.

引用

@article{arxiv.math/0106024,
  title  = {Multivariable cochain operations and little n-cubes},
  author = {James E. McClure and Jeffrey H. Smith},
  journal= {arXiv preprint arXiv:math/0106024},
  year   = {2007}
}

Multivariable cochain operations and little n-cubes

摘要

引用

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