Compactified configuration space of points on a line and homotopies of $A_\infty$ morphisms
Quantum Algebra
2015-02-10 v1
Abstract
We construct a configuration space model for a particular 2-colored differential graded operad encoding the structure of two algebras with two morphisms and a homotopy between the morphisms. The cohomology of this operad is shown to be the well-known 2-colored operad encoding the structure of two associative algebras and of an associative algebra morphism between them.
Keywords
Cite
@article{arxiv.1502.02553,
title = {Compactified configuration space of points on a line and homotopies of $A_\infty$ morphisms},
author = {Theo Backman},
journal= {arXiv preprint arXiv:1502.02553},
year = {2015}
}
Comments
18 pages