论文标题
FreeHedra和Operadic Pairs上的蜂窝链
Cellular chains on freehedra and operadic pairs
论文作者
论文摘要
该论文致力于解释FreeHedra的经营含义，FreeHedra是一个最初定义用于研究自由循环空间的多型家族。我们介绍了在它们上介绍大事对和代数的概念。 Stasheff Associahedra和Stasheff Multiplihedra上的蜂窝链组装成两种彩色的歌剧对，该对$ a_ \ a_ \ infty $ -Algebras和$ a_ \ a_ \ iffty $ -Modules上方都有$ a_ \ iffty $ a_ \ iffty $ iffty $。该操作对的一个重要商是由立方体和FreeHedra上的细胞链给出的。
The paper is devoted to explaining the operadic meaning of freehedra, a family of polytopes originally defined to study free loop spaces. We introduce the notion of operadic pairs and algebras over them. Cellular chains on Stasheff associahedra and Stasheff multiplihedra assemble into a two-colored operadic pair that governs $A_\infty$-algebras and $A_\infty$-modules over them, with maps that are $A_\infty$ in both colors. An important quotient of this operadic pair is given by cellular chains on cubes and freehedra.
