Topology of real algebraic sets of dimension 4: necessary conditions
Algebraic Geometry
2012-02-15 v1 Geometric Topology
Abstract
Operators on the ring of algebraically constructible functions are used to compute local obstructions for a four-dimensional semialgebraic set to be homeomorphic to a real algebraic set. The link operator and arithmetic operators yield independent characteristic numbers mod 2, which generalize the Akbulut-King numbers in dimension three.
Keywords
Cite
@article{arxiv.math/9809060,
title = {Topology of real algebraic sets of dimension 4: necessary conditions},
author = {Clint McCrory and Adam Parusinski},
journal= {arXiv preprint arXiv:math/9809060},
year = {2012}
}