Frank Neumann
Torsion in the Cohomology of Finite Loop Spaces and the Eilenberg-Moore Spectral Sequence
Preprint series: Mathematica Gottingensis

MSC:

55P35 Loop spaces

55T10 Serre spectral sequences

55T20 Eilenberg-Moore spectral sequences

57T25 Homology and cohomology of ${H}$-spaces

57T35 Applications of Eilenberg-Moore spectral sequences

Abstract: We use the Eilenberg-Moore spectral sequence to study
torsion phenomena in the integral cohomology of finite loop spaces with
maximal torus generalizing some results for compact Lie groups due to Kac.
Keywords: Eilenberg-Moore spectral sequence, finite loop spaces, classifying spaces, torsion
Notes: This paper will appear:
F. Neumann: Torsion in the Cohomology of Finite Loop Spaces and
the Eilenberg-Moore Spectral Sequence,
Topology and its Applications