Ribbon dioperads and modular ribbon properads
K-Theory and Homology
2022-03-01 v1 Algebraic Topology
Abstract
We define and study the notions of ribbon dioperads and modular ribbon properads. We give a Lie algebra structure on the colimit total object and the limit total object of a ribbon dioperad, and we give a norm map between them. We give a cobar construction for dg ribbon co-dioperads. We also prove similar results for modular ribbon properads. These results are applied to the study of higher Hochschild cochain complexes and pre-Calabi-Yau categories.
Cite
@article{arxiv.2202.13269,
title = {Ribbon dioperads and modular ribbon properads},
author = {Wai-Kit Yeung},
journal= {arXiv preprint arXiv:2202.13269},
year = {2022}
}
Comments
34 pages, 5 figures. Comments welcome