论文标题
$ \ w $ - 理性形式的产品
The product on $\W$-spaces of rational forms
论文作者
论文摘要
令$ v $为准形式的分级限制性顶点代数，$ w $为其模块，$ \ w_ {z_1，\ ldots，z_n} $是带有复杂参数的理性差分形式的空间，$（z_1，z_1，\ ldots，z_n）$ for $ n $ n $ n \ gee 0 $ 0 $。使用几何解释，根据两个Riemann Spheres缝制，我们定义了两个空间的元素$ \ w_ {x_1，\ ldots，x_k} $和$ \ w_ {y_1，\ ldots，\ ldots，y_n} $，并研究其属性。 A product is introduced also for elements of two spaces $C^k_m(V, \W)$ $\times$ $C^n_{m'}(V, \W)$ $\to$ $C^{k+n}_{m+m'}(V, \W)$ of the corresponding chain complex of rational differential forms invariant with respect to transformations of complex parameters.
Let $V$ be a quasi-conformal grading-restricted vertex algebra, $W$ be its module, and $\W_{z_1, \ldots, z_n}$ be the space of rational differential forms with complex parameters $(z_1, \ldots, z_n)$ for $n \ge 0$. Using geometric interpretation in terms of two Riemann spheres sewing we define a product of elements of two spaces $\W_{x_1, \ldots, x_k}$ and $\W_{y_1, \ldots, y_n}$, and study its properties. A product is introduced also for elements of two spaces $C^k_m(V, \W)$ $\times$ $C^n_{m'}(V, \W)$ $\to$ $C^{k+n}_{m+m'}(V, \W)$ of the corresponding chain complex of rational differential forms invariant with respect to transformations of complex parameters.
