Quasimorphisms and bounded Cohomology

URN to cite this document:: urn:nbn:de:bvb:355-epub-593517
DOI to cite this document:: 10.5283/epub.59351

Hofmann, Franziska

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Date of publication of this fulltext: 05 Nov 2024 09:56

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Item type:	Thesis of the University of Regensburg (Masters)
Open Access Type:	Primary Publication
Date:	23 October 2024
Referee:	Prof. Dr. Clara Löh
Date of exam:	23 May 2023
Institutions:	Mathematics
Keywords:	bounded cohomology, cup product, quasimorphisms, median graphs
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Unpublished
Refereed:	Yes, this version has been refereed
Created at the University of Regensburg:	Yes
Item ID:	59351

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Abstract (English)

This thesis aims to introduce quasimorphisms and explain their connection to bounded and equivariant bounded cohomology. In particular, we extend vanishing results for cup products and Massey triple products in (equivariant) bounded cohomology of groups acting on graphs.

Translation of the abstract (German)

Das Ziel dieser Arbeit ist es, Quasimorphismen einzuführen und ihre Verbindung zur beschränkten und äquivarianten beschränkten Kohomologie zu erklären. Insbesondere erweitern wir die Verschwinde-Resultate für Cup-Produkte und Massey-Produkte in der (äquivarianten) beschränkten Kohomologie von Gruppen, die auf Graphen wirken.

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