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On the topology of the space of vacuum initial data sets

Gicquaud, Romain et al.
arXiv (All) · Papers
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algebraic-topologyanalysis-of-pdesdifferential-geometrygeneral-relativity-and-quantum-cosmology
We show that the space of vacuum initial data sets on a closed manifold often has many non-trivial homotopy groups. The starting point is a result of the second named author, which constructs non-trivial elements in the homotopy groups of the space of initial data sets satisfying the strict dominant
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