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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Branched covers theory for topological 4-manifolds

Presented by Daniele Zuddas, KIAS (Seoul) / Durham(Grey Fellowship)

19 January 2015 16:00 in CM221

It is known that smooth closed oriented 4-manifolds are smooth branched covers of the 4-sphere. In this talk we extend this result to open 4-manifolds, by showing that they are branched covers of suitable open subsets of S^4. This has two main consequences: (1) any exotic R^4 is a smooth branched cover of the standard R^4, and (2) any closed oriented topological 4-manifold is a topological branched cover of S^4 (in the sense of Ralph Fox). Unfortunately, the branching set tends to be very wild at infinity. This is a joint work with Riccardo Piergallini (University of Camerino).

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