The K-group of R-constructible Sheaves
Differential Geometry
2007-05-23 v8
Abstract
Let Z be a smooth projective manifold. In these notes I will prove that the K-group of R-constructible sheaves is isomorphic to the free abelian group with one generator for each open semialgebraic subset (which I will denote by the same letter) modulo the Mayer-Vietoris relations: U + V - U^V - UvV = 0. I will prove it by showing that both groups in question are isomorphic to the group of all integer-valued semialgebraic functions on Z.
Cite
@article{arxiv.math/0209034,
title = {The K-group of R-constructible Sheaves},
author = {Matvei Libine},
journal= {arXiv preprint arXiv:math/0209034},
year = {2007}
}
Comments
4 pages, no figures, LaTeX