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arXiv · 2212.14598

Operads, operadic categories and the blob complex

Michael Batanin·Martin Markl
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Abstract

We will show that the Morrison-Walker blob complex appearing in Topological Quantum Field Theory is an operadic bar resolution of a certain operad composed of fields and local relations. As a by-product we develop the theory of unary operadic categories and study some novel and interesting phenomena arising in this context.

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Michael Batanin, Martin Markl. 2022-12-30. Operads, operadic categories and the blob complex. https://arxiv.org/abs/2212.14598

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