Finite domination and Novikov rings. Laurent polynomial rings in several variables
K-Theory and Homology
2019-09-12 v1 Algebraic Topology
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.
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Cite
@article{arxiv.1410.4352,
title = {Finite domination and Novikov rings. Laurent polynomial rings in several variables},
author = {Thomas Huettemann and David Quinn},
journal= {arXiv preprint arXiv:1410.4352},
year = {2019}
}
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39 pages