Rational global homotopy theory and geometric fixed points
Rational global homotopy theory and geometric fixed points
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DissertationPrüfungsdatum
07.11.2017Datum der Veröffentlichung
20.12.2017Erstgutachter
Schwede, StefanZweitgutachter
Nikolaus, ThomasMetadaten
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Inhalt
We use geometric fixed points to give a multiplicative algebraic model for rational global homotopy theory with respect to finite groups. It has infinite homological dimension and we study the formality of K-theory. Furthermore, we also address the comparison of highly structured ring spectra in this setting.
Schlagwörter
Algebraische Topologie, Stabile Homotopietheorie, Äquivariante Homotopietheorie, K-Theorie, Homotopische Algebra, Rationale Homotopietheorie, Algebraic topology, Stable homotopy theory, Equivariant homotopy theory, K-theory, Homotopical algebra, Rational homotopy theory
Klassifikation (DDC)
510 MathematikWimmer, Christian: Rational global homotopy theory and geometric fixed points. - Bonn, 2017. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-49232
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-49232
@phdthesis{handle:20.500.11811/7313,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-49232,
author = {{Christian Wimmer}},
title = {Rational global homotopy theory and geometric fixed points},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2017,
month = dec,
note = {We use geometric fixed points to give a multiplicative algebraic model for rational global homotopy theory with respect to finite groups. It has infinite homological dimension and we study the formality of K-theory. Furthermore, we also address the comparison of highly structured ring spectra in this setting.},
url = {https://hdl.handle.net/20.500.11811/7313}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-49232,
author = {{Christian Wimmer}},
title = {Rational global homotopy theory and geometric fixed points},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2017,
month = dec,
note = {We use geometric fixed points to give a multiplicative algebraic model for rational global homotopy theory with respect to finite groups. It has infinite homological dimension and we study the formality of K-theory. Furthermore, we also address the comparison of highly structured ring spectra in this setting.},
url = {https://hdl.handle.net/20.500.11811/7313}
}
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