Curved cooperads and homotopy unital A-infty-algebras
K-Theory and Homology
2014-03-17 v1
Abstract
We provide bar and cobar constructions as functors acting between various categories of curved operads and curved cooperads. Cobar and bar constructions are adjoint to each other. Given a twisting cochain between a curved augmented cooperad C with an extra grading and a curved operad O we construct a couple of adjoint functors between the category of curved O-modules and the category of curved C-comodules. The important feature is that the curved operad O is not necessarily augmented.
Keywords
Cite
@article{arxiv.1403.3644,
title = {Curved cooperads and homotopy unital A-infty-algebras},
author = {Volodymyr Lyubashenko},
journal= {arXiv preprint arXiv:1403.3644},
year = {2014}
}
Comments
113 pages