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arXiv · 1412.6032

Iterated bar complexes and E_n-homology with coefficients

Benoit Fresse·Stephanie Ziegenhagen
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Abstract

The first author proved in a previous paper that the n-fold bar construction for commutative algebras can be generalized to E_n-algebras, and that one can calculate E_n-homology with trivial coefficients via this iterated bar construction. We extend this result to E_n-homology and E_n-cohomology of a commutative algebra A with coefficients in a symmetric A-bimodule.

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Benoit Fresse, Stephanie Ziegenhagen. 2014-12-18. Iterated bar complexes and E_n-homology with coefficients. https://arxiv.org/abs/1412.6032

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