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How to realize all compact topological 4-manifolds by a finite amount of data

Daniele Zuddas
Institution: 
UNITS
Location: 
A-136
Schedule: 
Tuesday, February 4, 2020 - 16:00
Abstract: 

We show that compact topological 4-manifolds are finitistic objects: they can be presented by a finite amount of data. If the manifold is not smoothable this finiteness result is not obvious. However, we will show that the problem can be reduced to the smooth case. Then, by choosing a finite triangulation, we get the desired finite amount of data sufficient for reconstructing the given topological 4-manifold uniquely up to homeomorphisms. This is a joint work with Michael Freedman.

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