Finite domination and Novikov rings. Laurent polynomial rings in several variables

被引：0
|
作者：
Huettemann, Thomas [1 ]
Quinn, David [2 ]
机构：
[1] Queens Univ Belfast, Sch Math & Phys, Pure Math Res Ctr, Belfast BT7 1NN, Antrim, North Ireland
[2] Univ Edinburgh, Sch Math, James Clerk Maxwell Bldg,Kings Bldg, Edinburgh EH9 3FD, Midlothian, Scotland
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2016年 / 220卷 / 07期
基金：
英国工程与自然科学研究理事会;
关键词：
HOMOLOGY;
D O I：
10.1016/j.jpaa.2015.12.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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. (c) 2015 Elsevier B.V. All rights reserved.
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页码：2648 / 2682
页数：35
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