Cocycles of nilpotent quotients of free groups
Geometric Topology
2018-07-31 v2 Algebraic Topology
Abstract
We focus on the cohomology of the -th nilpotent quotient of the free group, . This paper describes all the group 2-, 3-cocycles in terms of Massey products, and gives expressions for some of the 3-cocycles. We also give simple proofs of some of the results on Milnor invariants and the Johnson-Morita homomorphisms.
Keywords
Cite
@article{arxiv.1706.01189,
title = {Cocycles of nilpotent quotients of free groups},
author = {Takefumi Nosaka},
journal= {arXiv preprint arXiv:1706.01189},
year = {2018}
}
Comments
15 pages. Any comment is welcome