Representation theory and the cycle map of a classifying space
Algebraic Geometry
2017-09-05 v2 Algebraic Topology
Abstract
We compute the Chern subgroup of the 4-th integral cohomology group of a certain classifying space and show that it is a proper subgroup. Such a classifying space gives us new counterexamples for the integral Hodge and Tate conjectures modulo torsion.
Cite
@article{arxiv.1601.06199,
title = {Representation theory and the cycle map of a classifying space},
author = {Masaki Kameko},
journal= {arXiv preprint arXiv:1601.06199},
year = {2017}
}
Comments
8 pages, to appear in Algebraic Geometry