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Surfaces of minimal complexity in low-dimensional topology

Nagel, Matthias (2015) Surfaces of minimal complexity in low-dimensional topology. PhD, Universität Regensburg.

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Date of publication of this fulltext: 10 Aug 2015 12:42

Abstract (English)

We study twisted Reidemeister torsion on graph manifolds and discuss how it can be used to recover the Thurston norm.
Furthermore, we derive an inequality relating the genus function on a circle bundle over an irreducible 3-manifold to the self-intersection number and the Thurston norm.

Translation of the abstract (German)

Wir untersuchen getwistete Reidemeister-Torsion auf Graphenmannigfaltigkeiten und wie man mit Hilfe dieser die Thurston Norm berechnet.
Zusätzlich setzen wir die Komplexitätsfunktion auf einem Kreisbündel über einer irreduziblen 3-Mannigfaltigkeit mit dem Selbstschnitt und der Thurston Norm in Beziehung.


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Item type:Thesis of the University of Regensburg (PhD)
Date:10 August 2015
Referee:Prof. Ph. D. Stefan Friedl and Prof. Ph. D. András Stipsicz
Date of exam:13 July 2015
Institutions:Mathematics > Prof. Dr. Stefan Friedl
Classification:
NotationType
57M27MSC
57M10MSC
Keywords:twisted Reidemeister torsion, graph manifold, Thurston norm, circle bundle
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:32295
Owner only: item control page

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