论文标题
前lie Operad的同位刚性
Homotopical rigidity of the pre-Lie operad
论文作者
论文摘要
我们表明,著名的lie代数的著名歌剧非常僵化:从三种观点中的任何一个中,这都没有“非明显”的自由度:与“同构理论的三个恩典”,同型自动形态的三个恩典和从事的扭曲。在检查后者时,可以回答2005年以来的Markl问题,包括Deligne猜想的谎言理论版本。
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.