Higher Homotopy Operations
Algebraic Topology
2007-05-23 v1
Abstract
We provide a general definition of higher homotopy operations, encompassing most known cases, including higher Massey and Whitehead products, and long Toda brackets. These operations are defined in terms of the W-construction of Boardman and Vogt, applied to the appropriate diagram category; we also show how some classical families of polyhedra (including simplices, cubes, associahedra, and permutahedra) arise in this way.
Keywords
Cite
@article{arxiv.math/0207082,
title = {Higher Homotopy Operations},
author = {David Blanc and Martin Markl},
journal= {arXiv preprint arXiv:math/0207082},
year = {2007}
}
Comments
LaTeX, 29 pages