English

Derived universal Massey products

K-Theory and Homology 2021-09-06 v1 Algebraic Topology Quantum Algebra

Abstract

We define an obstruction to the formality of a differential graded algebra over a graded operad defined over a commutative ground ring. This obstruction lives in the derived operadic cohomology of the algebra. Moreover, it determines all operadic Massey products induced on the homology algebra, hence the name of derived universal Massey product.

Keywords

Cite

@article{arxiv.2109.01421,
  title  = {Derived universal Massey products},
  author = {Fernando Muro},
  journal= {arXiv preprint arXiv:2109.01421},
  year   = {2021}
}

Comments

28 pages

R2 v1 2026-06-24T05:39:24.935Z