On the Cohomology of the Classifying Spaces of Projective Unitary Groups and Applications
thesisposted on 01.11.2017 by Xing Gu
In order to distinguish essays and pre-prints from academic theses, we have a separate category. These are often much longer text based documents than a paper.
In this paper we calculate the integral cohomology of the classifying spaces of projective unitary groups of arbitrary degrees, up to dimension 10. We apply this result to solve the topological period-index problem over connected finite CW-complexes of dimension 8.