Cocycles of nilpotent quotients of free groups

Abstract

We focus on the cohomology of the $k$-th nilpotent quotient of the free group, $F/F_k$. 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.

15 pages. Any comment is welcome

References in corpus (1)

• Dehn Surgery Equivalence Relations on Three-Manifolds

Cited by in corpus (1)

• Milnor-Orr invariants from the Kontsevich invariant