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Surfaces of minimal complexity in low-dimensional topology
Thesis of the University of Regensburg
Nagel, Matthias (2015) Surfaces of minimal complexity in low-dimensional topology. PhD, Universität Regensburg.DOI to cite this document: 10.5283/epub.32295
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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Details
| Item type | Thesis of the University of Regensburg (PhD) | ||||||
| Open Access Type | Primary Publication | ||||||
| Date | 10 August 2015 | ||||||
| Date of publication | 10 Aug 2015 12:42 | ||||||
| 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 |
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| 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 | ||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-322954 | ||||||
| Item ID | 32295 |
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