Projects per year
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 |
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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
Fingerprint Dive into the research topics of 'Finite domination and Novikov rings. Laurent polynomial rings in several variables'. Together they form a unique fingerprint.
Projects
- 1 Active
Activities
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The algebraic theory of finite domination
Thomas Huettemann (Invited speaker)
21 Jan 2019Activity: Talk or presentation types › Invited or keynote talk at national or international conference
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Toric varieties, Novikov homology and finiteness conditions for chain complexes
Thomas Huettemann (Speaker) & Silvia Sabatini (Organiser)
11 Jul 2018Activity: Talk or presentation types › Oral presentation
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Pure Mathematics Colloquium, Durham (UK): Cubes of chain complexes, multi-complexes and totalisation
Thomas Huettemann (Speaker)
27 Oct 2014Activity: Talk or presentation types › Invited talk
Profiles
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Thomas Huettemann
- School of Mathematics and Physics - Senior Lecturer
- Mathematical Sciences Research Centre
Person: Academic