The Topological Period-Index Problem over 8-Complexes, I
Algebraic Topology
2019-07-05 v3
Abstract
We study the Postnikov tower of the classifying space of a compact Lie group P(n,mn), which gives obstructions to lifting a topological Brauer class of period to a PU_{mn}-torsor, where the base space is a CW complex of dimension 8. Combined with the study of a twisted version of Atiyah-Hirzebruch spectral sequence, this solves the topological period-index problem for CW complexes of dimension 8.
Cite
@article{arxiv.1709.00787,
title = {The Topological Period-Index Problem over 8-Complexes, I},
author = {Xing Gu},
journal= {arXiv preprint arXiv:1709.00787},
year = {2019}
}
Comments
29 pages, 4 figures