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

Thomas Huettemann, David Quinn

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Abstract

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.
Original languageEnglish
Pages (from-to)2648-2682
Number of pages35
JournalJournal of Pure and Applied Algebra
Volume220
Issue number7
Early online date12 Jan 2016
DOIs
Publication statusPublished - Jul 2016

ASJC Scopus subject areas

  • Algebra and Number Theory

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