论文标题
定向拨号桥的协同学和变形
Cohomology and deformations of oriented dialgebras
论文作者
论文摘要
我们介绍了一个定向拨号桥的概念,并基于混合标准链复合物计算组的共同体和关联拨号钉共同体的可能性开发了针对定向拨号膜的共同体学理论。我们还为定向拨号桥引入了$ 1 $参数形式的形式变形理论,并表明了定向拨号桥的共同体控制此类变形。
We introduce a notion of oriented dialgebra and develop a cohomology theory for oriented dialgebras based on the possibility to mix the standard chain complexes computing group cohomology and associative dialgebra cohomology. We also introduce a $1$-parameter formal deformation theory for oriented dialgebras and show that cohomology of oriented dialgebras controls such deformations.