A partial $A_\infty$-structure on the cohomology of $C_n\times C_m$

Mikael Vejdemo-Johansson

A partial $A_\infty$-structure on the cohomology of $C_n\times C_m$

Algebraic Topology 2010-05-14 v2

Authors: Mikael Vejdemo-Johansson

Abstract

Suppose $k$ is a field of characteristic 2, and $n,m\geq 4$ powers of 2. Then the $A_\infty$ -structure of the group cohomology algebras $H^*(C_n,k)$ and $H^*(C_m,k)$ are well known. We give results characterizing an $A_\infty$ -structure on $H^*(C_n\times C_m,k)$ including limits on non-vanishing low-arity operations and an infinite family of non-vanishing higher operations.

Keywords

A-infinity structure group cohomology characteristic 2 cyclic groups higher operations low-arity operations cohomology algebra

Cite

@article{arxiv.0801.3010,
  title  = {A partial $A_\infty$-structure on the cohomology of $C_n\times C_m$},
  author = {Mikael Vejdemo-Johansson},
  journal= {arXiv preprint arXiv:0801.3010},
  year   = {2010}
}

Comments

This duplicate posting of the paper has been withdrawn in favour of the posting at arXiv:0707.1637.

A partial $A_\infty$-structure on the cohomology of $C_n\times C_m$

Abstract

Keywords

Cite

Comments

Related papers