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2020 Fundamental groups of formal Legendrian and horizontal embedding spaces
Eduardo Fernández, Javier Martínez-Aguinaga, Francisco Presas
Algebr. Geom. Topol. 20(7): 3219-3312 (2020). DOI: 10.2140/agt.2020.20.3219

Abstract

We compute the fundamental group of each connected component of the space of formal Legendrian embeddings in 3. We use it to show that previous examples in the literature of nontrivial loops of Legendrian embeddings are already nontrivial at the formal level. Likewise, we compute the fundamental group of the different connected components of the space of formal horizontal embeddings into the standard Engel 4. We check that the natural inclusion of the space of horizontal embeddings into the space of formal horizontal embeddings induces an isomorphism at π1–level.

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Eduardo Fernández. Javier Martínez-Aguinaga. Francisco Presas. "Fundamental groups of formal Legendrian and horizontal embedding spaces." Algebr. Geom. Topol. 20 (7) 3219 - 3312, 2020. https://doi.org/10.2140/agt.2020.20.3219

Information

Received: 27 November 2017; Revised: 11 November 2019; Accepted: 9 December 2019; Published: 2020
First available in Project Euclid: 5 January 2021

MathSciNet: MR4194282
Digital Object Identifier: 10.2140/agt.2020.20.3219

Subjects:
Primary: 57R17, 58A17
Secondary: 53D10

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.20 • No. 7 • 2020
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