2020/02/28 by Vladimir Dotsenko, Dotsenko, Vladimir, Anton Khoroshkin +1 · 1 citation
Mathematics · Medicine · #Advanced Topics in Algebra #Cancer Treatment and Pharmacology #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.2002.12918
openalex publication_date 2020/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the celebrated operad of pre-Lie algebras is very rigid: it has no "non-obvious" degrees of freedom from either of the three points of view: deformations of maps to and from the "three graces of operad theory", homotopy automorphisms, and operadic twisting. Examining the latter, it is possible to answer two questions of Markl from 2005, including a Lie-theoretic version of the Deligne conjecture.