Classification of Engel knots

Roger Casals; A. del Pino Gomez

doi:10.1007/s00208-017-1625-0

Classification of Engel knots

Roger Casals
, A. del Pino Gomez

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	391–404
Journal	Mathematische Annalen
Volume	371
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-017-1625-0
Publication status	Published - Jun 2018

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title = "Classification of Engel knots",

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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AU - Casals, Roger

AU - del Pino Gomez, A.

PY - 2018/6

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N2 - 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.

AB - 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.

UR - https://arxiv.org/abs/1710.11034

U2 - 10.1007/s00208-017-1625-0

DO - 10.1007/s00208-017-1625-0

M3 - Article

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VL - 371

SP - 391

EP - 404

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1-2

ER -

Classification of Engel knots

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