A partial A_∞-structure on the cohomology of C_n× C_m

2008/01/19 by Mikael Vejdemo‐Johansson, Mikael Vejdemo-Johansson, Vejdemo-Johansson, Mikael
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #math.AT

paper · pdf · doi:10.48550/arxiv.0801.3010

This duplicate posting of the paper has been withdrawn in favour of the posting at arXiv:0707.1637.

openalex publication_date 2008/01/19 · arxiv created 2010/05/13 · arxiv updated 2010/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• A partial A_∞-structure on the cohomology of C_n× C_m

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