Projects per year
Abstract
Let C be a bounded cochain complex of finitely generatedfree modules over the Laurent polynomial ring L = R[x, x−1, y, y−1].The complex C is called R-finitely dominated if it is homotopy equivalentover R to a bounded complex of finitely generated projective Rmodules.Our main result characterises R-finitely dominated complexesin terms of Novikov cohomology: C is R-finitely dominated if andonly if eight complexes derived from C are acyclic; these complexes areC ⊗L R[[x, y]][(xy)−1] and C ⊗L R[x, x−1][[y]][y−1], and their variants obtainedby swapping x and y, and replacing either indeterminate by its inverse.
Original language | English |
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Article number | 1550055 |
Number of pages | 44 |
Journal | Journal of Algebra and its Applications |
Volume | 14 |
Issue number | 4 |
DOIs | |
Publication status | Published - May 2014 |
Fingerprint Dive into the research topics of 'Finite domination and Novikov rings: Laurent polynomial rings in two 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
Profiles
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Thomas Huettemann
- School of Mathematics and Physics - Senior Lecturer
- Mathematical Sciences Research Centre
Person: Academic