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On the motivic spectrum BO and Hermitian K-theory

This thesis deals with Panin and Walter's motivic spectrum BO. This spectrum is constructed using the real and quaternionic Grassmannians RG(r,n) and HGr(r,n) respectively, over schemes were 2 is invertible. We show that the construction of BO does not need the invertibility of 2. We also show that this spectrum is cellular over any base.

Identiferoai:union.ndltd.org:uni-osnabrueck.de/oai:repositorium.ub.uni-osnabrueck.de:urn:nbn:de:gbv:700-202011243776
Date24 November 2020
CreatorsKumar, K. Arun
ContributorsProf. Dr. Oliver Roendigs, Dr. Alexey Ananyevskiy
Source SetsUniversität Osnabrück
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis
Formatapplication/pdf, application/zip
RightsAttribution 3.0 Germany, http://creativecommons.org/licenses/by/3.0/de/

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