English

Higher order Massey products and applications

Algebraic Topology 2020-04-28 v2 Commutative Algebra Representation Theory

Abstract

In this survey, we discuss two research areas related to Massey's higher operations. The first direction is connected with the cohomology of Lie algebras and the theory of representations. The second main theme is at the intersection of toric topology, homotopy theory of polyhedral products, and the homology theory of local rings, Stanley-Reisner rings of simplicial complexes.

Keywords

Cite

@article{arxiv.2002.10050,
  title  = {Higher order Massey products and applications},
  author = {Ivan Limonchenko and Dmitry Millionshchikov},
  journal= {arXiv preprint arXiv:2002.10050},
  year   = {2020}
}

Comments

36 pages, 1 figure; minor changes, misprints corrected

R2 v1 2026-06-23T13:51:08.384Z