RT Journal Article
T1 Fundamental groups of formal Legendrian and horizontal embedding spaces
A1 Fernández Fuertes, Eduardo
A1 Martínez-Aguinaga, Javier
A1 Presas, Francisco
AB 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.
PB Mathematical Sciences Publishers (MSP)
SN 1472-2747
YR 2020
FD 2020
LK https://hdl.handle.net/20.500.14352/7653
UL https://hdl.handle.net/20.500.14352/7653
LA eng
DS Docta Complutense
RD 21 sept 2024