Smooth relative connections on quiver bundles
arXiv:2602.18781
Abstract
We develop a theory of smooth relative connections over the real path algebra on smooth twisted quiver bundles. We give obstructions to the existence of a smooth relative connection on twisted quiver bundles. For tree-type quiver bundles, we establish a necessary and sufficient condition for the existence of a smooth relative connection. Additionally, we provide a framework for the representation theory of flat quiver bundles, relating the existence of flat relative connections to the underlying quiver representations.
21 pages. Comments welcome!