Hofmann, Franziska

Quasimorphisms and bounded Cohomology

Hofmann, Franziska (2024) Quasimorphisms and bounded Cohomology. Masters, Universität Regensburg. (Unpublished)

Date of publication of this fulltext: 05 Nov 2024 09:56
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.59351

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License: Creative Commons Attribution 4.0

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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Details

Item type	Thesis of the University of Regensburg (Masters)
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Status	Unpublished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
URN of the UB Regensburg	urn:nbn:de:bvb:355-epub-593517
Item ID	59351

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