论文标题
同型cartan演算和$ a_ \ infty $ - 代理的内部变形
Homotopy Cartan calculus and inner deformations of $A_\infty$-algebras
论文作者
论文摘要
我们考虑$ a_ \ infty $ - 代数的家庭内部变形。借助非交通型卡坦的演算，我们证明了内部变形下Hochschild（CO）同源性的不变性。不变性还适用于满足一些其他条件的环状共同体学类别。简要讨论了对DG-Elgebras和QFT问题的应用。
We consider inner deformations of families of $A_\infty$-algebras. With the help of noncommutative Cartan's calculus, we prove the invariance of Hochschild (co)homology under inner deformations. The invariance also holds for cyclic cohomology classes that satisfy some additional conditions. Applications to dg-algebras and QFT problems are briefly discussed.
