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arXiv · 1403.2279

Vector bundles on the projective line and finite domination of chain complexes

Thomas Huettemann
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Abstract

Finitely dominated chain complexes over a Laurent polynomial ring in one indeterminate are characterised by vanishing of their Novikov homology. We present an algebro-geometric approach to this result, based on extension of chain complexes to sheaves on the projective line. We also discuss the K-theoretical obstruction to extension.

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Thomas Huettemann. 2014-03-10. Vector bundles on the projective line and finite domination of chain complexes. https://doi.org/10.3318/pria.2015.115.2

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