Forests and the W Construction
Algebraic Topology
2013-03-28 v1 Quantum Algebra
Abstract
A modified definition of the category of forests by Costello and expounded upon by Getzler is given. This language is used to prove some cofibration properties of the W construction for colored operads, following the work of Berger-Moerdijk. An application is given to the swiss cheese operad. The language of forests is convenient for showing that the swiss cheese operad is equivalent to its free degree 0 and 1 pieces.
Cite
@article{arxiv.1210.0883,
title = {Forests and the W Construction},
author = {Justin D Thomas},
journal= {arXiv preprint arXiv:1210.0883},
year = {2013}
}
Comments
17 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1011.1635