Moment-angle complexes, monomial ideals, and Massey products
Algebraic Topology
2013-12-17 v4 Combinatorics
Abstract
Associated to every finite simplicial complex K there is a "moment-angle" finite CW-complex, Z_K; if K is a triangulation of a sphere, Z_K is a smooth, compact manifold. Building on work of Buchstaber, Panov, and Baskakov, we study the cohomology ring, the homotopy groups, and the triple Massey products of a moment-angle complex, relating these topological invariants to the algebraic combinatorics of the underlying simplicial complex. Applications to the study of non-formal manifolds and subspace arrangements are given.
Cite
@article{arxiv.math/0512497,
title = {Moment-angle complexes, monomial ideals, and Massey products},
author = {Graham Denham and Alexander I. Suciu},
journal= {arXiv preprint arXiv:math/0512497},
year = {2013}
}
Comments
30 pages. Published version