Loops, holonomy and signature
Resumen:
We show that there is a topology on the group of loops in euclidean space such that this group is embedded in a Lie group which is simple relative to the loops. An extension of this Lie group gives the structural group of a principal bundle with connection whose holonomy coincides with the Chen signature map. We also give an alternative geometric new proof of Chen signature Theorem.
| 2024 | |
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MATHEMATICS - GEOMETRIC TOPOLOGY MATHEMATICS - DIFFERENTIAL GEOMETRY MATHEMATICS - GROUP THEORY |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/48488 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
