Abstract
The aim of this note is to give two applications of Topological Quantum Field Theories to the topology of open manifolds. The invariants we derived may be used to test if an open manifold is simply connected at infinity (as we did for Whitehead's manifold in case of the sl2(C)-TQFT in level 3) or to construct examples of non-homeomorphic contractible open 3-manifolds.
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