English

Classification of Engel Knots

Geometric Topology 2017-10-31 v1 Symplectic Geometry

Abstract

For any Engel 4-fold, 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 orbits of the Engel kernel. This is a relative, parametric and close h-principle.

Keywords

Cite

@article{arxiv.1710.11034,
  title  = {Classification of Engel Knots},
  author = {Roger Casals and Álvaro del Pino},
  journal= {arXiv preprint arXiv:1710.11034},
  year   = {2017}
}

Comments

10 Pages, 3 Figures. Comments welcome !

R2 v1 2026-06-22T22:29:57.511Z