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Smooth 4–manifolds and surface diagrams

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Behrens,  Stefan
Max Planck Institute for Mathematics, Max Planck Society;

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Behrens, S. (2014). Smooth 4–manifolds and surface diagrams. PhD Thesis, Rheinische Friedrich–Wilhelms–Universität Bonn, Bonn.


Cite as: https://hdl.handle.net/21.11116/0000-0004-189F-F
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.