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A universal ribbon surface in $B^{4}$

Published online by Cambridge University Press:  22 April 2005

R. Piergallini  and
D. Zuddas
R. Piergallini
Affiliation:
Dip. di Matematica e Informatica, Università di Camerino, via Madonna delle Carceri, 62032 Camerino (MC), Italy. E-mail: riccardo.piergallini@unicam.it
D. Zuddas
Affiliation:
Scuola Normale Superiore di Pisa, Piazza dei Cavalieri, 56126 Pisa, Italy. E-mail: d.zuddas@sns.it
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Abstract

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 $F$.

Keywords

4-manifoldbranched coveringuniversal surface57M1257N1357Q45
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 90 , Issue 3 , May 2005 , pp. 763 - 782
Copyright
2005 London Mathematical Society

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