This thesis reviews and refines constructions of dynamical theories for the diffeomorphism field by mimicking Yang-Mills theory from Kac-Moody algebras and investigates geometric alternatives.
Projective differential geometry old and new: from the Schwarzian derivative to the cohomology of diffeomorphism groups, volume 165
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The Diffeomorphism Field
This thesis reviews and refines constructions of dynamical theories for the diffeomorphism field by mimicking Yang-Mills theory from Kac-Moody algebras and investigates geometric alternatives.