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universal surface

Proceedings of the London Mathematical Society (1)

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A universal ribbon surface in $B^{4}$
R. Piergallini, D. Zuddas
Journal:

Proceedings of the London Mathematical Society / Volume 90 / Issue 3 / May 2005

Published online by Cambridge University Press:

22 April 2005, pp. 763-782

Print publication:

May 2005
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We construct an orientable ribbon surface $F \subset B^4$ which is universal in the following sense: any orientable 4-manifold $M \cong B^4 \cup \text{1-handles} \cup \text{2-handles}$ can be represented as a cover of $B^4$ branched over $F$.