Vector bundles on the projective line and finite domination of chain complexes
arXiv:1403.2279 · doi:10.3318/pria.2015.115.2
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.
arXiv commentv1: 11 pages