TL;DR
This paper introduces operadic torsors and quasi-torsors, demonstrating their role in establishing operad isomorphisms and providing a concise proof of the Deligne conjecture.
Contribution
It defines operadic torsors and quasi-torsors and proves their significance in determining operad isomorphisms, offering a new approach to the Deligne conjecture.
Findings
Operadic torsors imply operad (quasi-)isomorphism.
Established a shortest known proof of the Deligne conjecture.
Provided a new conceptual framework for operad equivalences.
Abstract
We introduce the notion of operadic torsors and operadic quasi-torsors. We show that if an operadic (quasi-)torsor between two operads exists, then these operads are (quasi-)isomorphic. As an application we present the (arguably) shortest known proof of the Deligne conjecture.
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
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models