English

Quotients of even rings

Algebraic Topology 2018-09-14 v1

Abstract

We prove that if RR is an E2\mathbb{E}_2-ring with homotopy concentrated in even degrees, and {xj}\{x_j\} is any sequence of elements in π2(R)\pi_{2*}(R), then R/(x1,x2,)R/(x_1,x_2,\cdots) admits the structure of an E1\mathbb{E}_1-RR-algebra. This removes an assumption, common in the literature, that {xj}\{x_j\} be a regular sequence.

Keywords

Cite

@article{arxiv.1809.04723,
  title  = {Quotients of even rings},
  author = {Jeremy Hahn and Dylan Wilson},
  journal= {arXiv preprint arXiv:1809.04723},
  year   = {2018}
}

Comments

3 pages; comments welcome!