有限控制与Novikov环多元Laurent多项式环
Finite domination and Novikov rings. Laurent polynomial rings in several variables
摘要：
本文给出了Laurent多项式环上的模的链复形在基环上的多个不定元上的同调刻画，这些不定元是基环上的模的有界复形的同伦（即，是一个由多个不定元生成的自由模的有界复形的同伦的收缩）.的主要工具，我们开发的文件中，是一个非标准的整体建设的多复杂的截断产品的基础上，和高维映射环面建设采用的理论，立方图，交换到指定的一致同伦。
英文摘要：
We present a homological characterisation of those chain complexes of modules over a Laurent polynomial ring in several indeterminates which are finitely dominated over the ground ring (that is, are a retract up to homotopy of a bounded complex of finitely generated free modules). The main tools, which we develop in the paper, are a non-standard totalisation construction for multi-complexes based on truncated products, and a high-dimensional mapping torus construction employing a theory of cubical diagrams that commute up to specified coherent homotopies.
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