On the behavior of Massey products under field extension
Algebraic Topology
2024-02-19 v2 Rings and Algebras
Abstract
We show that global vanishing of Massey products on a commutative differential graded algebra is not invariant under field extension. Non-vanishing triple Massey products remain non-vanishing upon field extension, while higher Massey products can generally vanish. If the field being extended is algebraically closed, all non-vanishing Massey products remain non-vanishing on a finite type commutative differential graded algebra.
Keywords
Cite
@article{arxiv.2304.10296,
title = {On the behavior of Massey products under field extension},
author = {Aleksandar Milivojevic},
journal= {arXiv preprint arXiv:2304.10296},
year = {2024}
}
Comments
Incorporated referee comments. To appear in JPAA. Comments always welcome!