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On some applications of unstable Adams operations to the topology of Kac-Moody groups


Author: Nitu Kitchloo
Journal: Proc. Amer. Math. Soc. 145 (2017), 915-924
MSC (2010): Primary 54H11
DOI: https://doi.org/10.1090/proc/13269
Published electronically: September 15, 2016
MathSciNet review: 3577891
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Abstract: Localized at almost all primes, we describe the structure of differentials in several important spectral sequences that compute the cohomology of classifying spaces of topological Kac-Moody groups. In particular, we show that for all but a finite set of primes, these spectral sequences collapse and that there are no additive extension problems. We also describe some appealing consequences of these results. The main tool is the use of the naturality properties of unstable Adams operations on these classifying spaces.


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Additional Information

Nitu Kitchloo
Affiliation: Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218
Email: nitu@math.jhu.edu

DOI: https://doi.org/10.1090/proc/13269
Received by editor(s): December 22, 2015
Received by editor(s) in revised form: May 3, 2016
Published electronically: September 15, 2016
Additional Notes: The author was supported in part by the NSF through grant DMS 1307875.
Communicated by: Michael A. Mandell
Article copyright: © Copyright 2016 American Mathematical Society