2026-06-27T15:56:23Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/76532023-08-27T03:39:20Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Fernández Fuertes, Eduardo
author
Martínez-Aguinaga, Javier
author
Presas, Francisco
2023-06-17T08:56:53Z
2023-06-17T08:56:53Z
2020
1472-2747
10.2140/agt.2020.20.321
https://hdl.handle.net/20.500.14352/7653
https://msp.org/agt/2020/20-7/p01.xhtml
We compute the fundamental group of each connected component of the space of formal Legendrian embeddings in R3. 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 R4. We check that the natural inclusion of the space of horizontal embeddings into the space of formal horizontal embeddings induces an isomorphism at [Pi]1 –level.
eng
Fundamental groups of formal Legendrian and horizontal embedding spaces
journal article
URL
https://docta.ucm.es/bitstreams/c22a18a6-1821-4bb5-adc7-1f4431202b65/download
File
MD5
d5f8364a2dd554e57a2a41dc0d0a2a9d
11436853
application/pdf
fernandez_martinezaguinaga-presas-algebraic.pdf