On the motivic spectrum BO and Hermitian K-theory

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Title: On the motivic spectrum BO and Hermitian K-theory
Authors: Kumar, K. Arun
Thesis advisor: Prof. Dr. Oliver Roendigs
Thesis referee: Dr. Alexey Ananyevskiy
Abstract: 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.
URL: https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202011243776
Subject Keywords: K-theory; Homotopy theory
Issue Date: 24-Nov-2020
License name: Attribution 3.0 Germany
License url: http://creativecommons.org/licenses/by/3.0/de/
Type of publication: Dissertation oder Habilitation [doctoralThesis]
Appears in Collections:FB06 - E-Dissertationen

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