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Paper detail

Ribbon dioperads and modular ribbon properads

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.

preprint2022arXivOpen access
Wai-Kit Yeung
math.ATmath.KT
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Wai-Kit Yeung

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