Smooth 4-Manifolds and Surface Diagrams

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Author
Behrens, Stefan
Type of Scholarly Publication
Dissertation
Date of Exam
20.05.2014
Date of Publication
18.06.2014
Advisor
Teichner, Peter
Co-Referee
Kreck, Matthias
Involved Institutions
Rheinische Friedrich-Wilhelms-Universität Bonn
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Abstract
Surface diagrams are a diagrammatic representation of smooth, 4-dimensional manifolds. In fact, a surface diagram encodes a 4-manifold together with a map onto the 2-sphere. After giving a detailed proof of this correspondence, we study the topology of 4-manifolds in terms of the combinatorics of its surface diagrams.
Classification (DDC)
510 Mathematik
Behrens, Stefan: Smooth 4-Manifolds and Surface Diagrams. - Bonn, 2014. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-36210
@phdthesis{handle:20.500.11811/6096,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-36210,
author = {{Stefan Behrens}},
title = {Smooth 4-Manifolds and Surface Diagrams},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2014,
month = jun,
note = {Surface diagrams are a diagrammatic representation of smooth, 4-dimensional manifolds. In fact, a surface diagram encodes a 4-manifold together with a map onto the 2-sphere. After giving a detailed proof of this correspondence, we study the topology of 4-manifolds in terms of the combinatorics of its surface diagrams.},
url = {https://hdl.handle.net/20.500.11811/6096}
}

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