On the motivic spectrum BO and Hermitian K-theory
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202011243776
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202011243776
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://osnadocs.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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