2026-06-27T23:54:11Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/76532023-08-27T03:39:20Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Fernández Fuertes, Eduardo author Martínez-Aguinaga, Javier author Presas, Francisco author 2020 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. 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 Fundamental groups of formal Legendrian and horizontal embedding spaces