Abstract
We develop the obstruction theory for Sobolev mappings both for the approximation and the deformation problems. We prove the existence of the ‘primary obstruction class’ for the deformation problem and classify the local and the global obstructions for the approximation problem. We also give precise descriptions of these obstructions when the domain is a simply connected 4-manifold.
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Isobe, T. Obstruction Theory for the Approximation and the Deformation Problems for Sobolev Mappings. Ann Glob Anal Geom 27, 299–332 (2005). https://doi.org/10.1007/s10455-005-3891-4
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DOI: https://doi.org/10.1007/s10455-005-3891-4