The topological period–index problem over 8‐complexes, I. Issue 4 (3rd July 2019)

• Record Type: Journal Article
• Authors: Gu, Xing
• Is Part Of: Journal of topology. Volume 12:Issue 4(2019)
• Page Start: 1368
• Page End: 1395
• Publication Date: 2019-07-03
• Subjects: 55P20 -- 55R40 -- 55S10 -- 55S35 -- 55T10 (primary); Topology -- Periodicals; 514.05
• DOI: 10.1112/topo.12119
• Languages: English
• ISSNs: 1753-8416

Abstract

Abstract: We study the Postnikov tower of the classifying space of a compact Lie group P ( n, m n ), which gives obstructions to lifting a topological Brauer class of period n to a P U m n ‐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.