Explicit Homotopy Equivalences Between Some Operads
Algebraic Topology
2011-10-17 v1 Quantum Algebra
Abstract
In this work we present an explicit operad morphism that is also a homotopy equivalence between the operad given by the real Fulton MacPherson compactification of configuration spaces and the little -disks operad. In particular, the construction gives an operadic homotopy equivalence between the associahedra and the little intervals explicitly. It can also be extended to the case of Kontsevich compactification and Voronov swiss-cheese operad.
Keywords
Cite
@article{arxiv.1110.3116,
title = {Explicit Homotopy Equivalences Between Some Operads},
author = {Eduardo Hoefel},
journal= {arXiv preprint arXiv:1110.3116},
year = {2011}
}