For the associative algebra $A(\mathfrak{g})$ of an infinite-dimensional Lie algebra $\mathfrak{g}$, we introduce twisted fiber bundles over arbitrary compact topological spaces. Fibers of such bundles are given by elements of algebraic completion of the space of formal series in complex parameters, sections are provided by rational functions with prescribed analytic properties. Homotopical invariance as well as covariance in terms of trivial bundles of twisted $A(\mathfrak{g})$-bundles is proven. Further applications of the paper's results useful for studies of the cohomology of infinite-dimensional Lie algebras on smooth manifolds, K-theory, as well as for purposes of conformal field theory, deformation theory [10], [14], [15], and the theory of foliations are mentioned.

对于结合代数 $\mathrm{一种}(\mathfrak{G})$ 无限维李代数 $\mathfrak{G}$，我们在任意紧凑拓扑空间上引入了扭曲的纤维束。这种丛的纤维由复参数形式级数空间的代数完备元素给出，截面由具有规定解析性质的有理函数提供。同伦不变性以及关于扭曲的平凡束的协方差$\mathrm{一种}(\mathfrak{G})$-bundles 已被证明。论文结果的进一步应用可用于研究光滑流形上无限维李代数的上同调、K理论，以及共形场理论、变形理论 [10]、[14]、[15]，并且提到了叶理理论。