from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. Given a smooth closed curve C on a surface M, and picking any point P on that curve, the holonomy of C in M is the angle by which some vector turns as it is parallel transported along the curve C from point P all the way around and back to point P.
Sorry, no etymologies found.
Tracy Houston: Recently I came across the term ‘holonomy.’
This can be seen as an instance of the more general notion of the holonomy of a closed curve, a notion that has come to the fore in contemporary formulations of gauge theories including electromagnetism in terms of fiber bundles (Healey (2007)).
It is possible to stabilize the moduli without fluxes in M-theory compactified on singular manifolds with G_2 holonomy.