Vector bundles on the projective line and finite domination of chain complexes
Algebraic Topology
2019-09-12 v1 K-Theory and Homology
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.
Cite
@article{arxiv.1403.2279,
title = {Vector bundles on the projective line and finite domination of chain complexes},
author = {Thomas Huettemann},
journal= {arXiv preprint arXiv:1403.2279},
year = {2019}
}
Comments
v1: 11 pages