arXiv:2102.01043 Abstract | arXiv Analytics

arXiv:2102.01043 [math.GT]Abstract References Reviews Resources

Branched covering simply-connected 4-manifolds

David Auckly, R. Inanc Baykur, Roger Casals, Sudipta Kolay, Tye Lidman, Daniele Zuddas

Published 2021-02-01Version 1

We prove that any closed simply-connected smooth 4-manifold is 16-fold branched covered by a product of an orientable surface with the 2-torus, where the construction is natural with respect to spin structures. We also discuss analogous results for other families of 4-manifolds with infinite fundamental groups.

Comments: 11 pages

Categories: math.GT, math.SG

Subjects: 57K43, 57M12

Keywords: branched covering, infinite fundamental groups, spin structures, orientable surface, construction

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