English

Iterated bar complexes and E_n-homology with coefficients

Algebraic Topology 2015-02-20 v2

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.

Keywords

Cite

@article{arxiv.1412.6032,
  title  = {Iterated bar complexes and E_n-homology with coefficients},
  author = {Benoit Fresse and Stephanie Ziegenhagen},
  journal= {arXiv preprint arXiv:1412.6032},
  year   = {2015}
}

Comments

v2: Updated references

R2 v1 2026-06-22T07:37:16.140Z