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 language | English |
|---|---|
| Pages (from-to) | 2648-2682 |
| Number of pages | 35 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 220 |
| Issue number | 7 |
| Early online date | 12 Jan 2016 |
| DOIs | |
| Publication status | Published - Jul 2016 |
ASJC Scopus subject areas
- Algebra and Number Theory
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Cite this
Huettemann, T., & Quinn, D. (2016). Finite domination and Novikov rings. Laurent polynomial rings in several variables. Journal of Pure and Applied Algebra, 220(7), 2648-2682. https://doi.org/10.1016/j.jpaa.2015.12.004