Operads, operadic categories and the blob complex
Michael Batanin, Martin Markl

TL;DR
This paper links the Morrison-Walker blob complex in Topological Quantum Field Theory to an operadic bar resolution, introduces unary operadic categories, and explores new phenomena in this framework.
Contribution
It establishes a connection between the blob complex and operadic bar resolutions and develops the theory of unary operadic categories with novel phenomena.
Findings
Blob complex is an operadic bar resolution of a specific operad.
Development of unary operadic categories.
Discovery of new phenomena in operadic categories.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra
