格点空间上的差分复形及其正合性

Difference Complex on Lattic Space and Its Exactness

运用非交换微分运算,在正规格点空间上给出差分复形的定义并构造同伦映射证明其正合性,这正是经典de Rham复形及Poincaré引理的差分离散形式。

Using noncommutative differential calculus, is proved to be exact by constructing homotopy maps, a difference which is just complex is introduced on regular lattic and a difference analogue of classical de Rham complex and Poincare lemma.