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Uniqueness of surface diagrams of smooth...
Williams, Jonathan D...
Uniqueness of surface diagrams of smooth 4-manifolds by Williams, Jonathan D. ( Author )
N.A
31-07-2023
In the author's earlier work there appeared a new way to specify any smooth closed 4-manifold by a surface diagram, which consists of an orientable surface decorated with simple closed curves. These curves are cyclically indexed, and each curve has a unique transverse intersection with the next. Each surface diagram comes from a certain type of map from the 4-manifold to the two-sphere. The aim of this paper is to give a uniqueness theorem stating that surface diagrams coming from maps within a fixed homotopy class are unique up to four moves: stabilization, handleslide, multislide, and shift.
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Article
pdf
37.08 KB
English
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MYR 0.01
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http://arxiv.org/abs/1103.6263
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