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arXiv · 2602.18781

Smooth relative connections on quiver bundles

Pavan Adroja·Sanjay Amrutiya·Riddhi Patil
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Abstract

We develop a theory of smooth relative connections over the real path algebra $\mathbb{R}Q$ 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.

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Pavan Adroja, Sanjay Amrutiya, Riddhi Patil. 2026-02-21. Smooth relative connections on quiver bundles. https://arxiv.org/abs/2602.18781

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