Classification of Engel knots
Publication date
2018-06
Authors
Casals, Roger
del Pino Gomez, A.
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Abstract
Let (M,D) be an Engel 4-manifold. We show that the scanning map from the space of Engel knots to the space of formal Engel knots is a weak homotopy equivalence when restricted to the complement of the closed ker(D) -orbits. This is a relative, parametric, and C0-close h-principle.
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Casals, R & del Pino Gomez, A 2018, 'Classification of Engel knots', Mathematische Annalen, vol. 371, no. 1-2, pp. 391–404. https://doi.org/10.1007/s00208-017-1625-0