Comparison of stratified-algebraic and topological K-theory
Algebraic Geometry
2015-11-16 v1
Abstract
Stratified-algebraic vector bundles on real algebraic varieties have many desirable features of algebraic vector bundles but are more flexible. We give a characterization of the compact real algebraic varieties having the following property: There exists a positive integer r such that for any topological vector bundle E on X, the direct sum of r copies of E is isomorphic to a stratified-algebraic vector bundle. In particular, each compact real algebraic variety of dimension at most 8 has this property. Our results are expressed in terms of K-theory.
Keywords
Cite
@article{arxiv.1511.04238,
title = {Comparison of stratified-algebraic and topological K-theory},
author = {Wojciech Kucharz and Krzysztof Kurdyka},
journal= {arXiv preprint arXiv:1511.04238},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1308.4376