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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2602.18781 |
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| _version_ | 1866910029017251840 |
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| author | Adroja, Pavan Amrutiya, Sanjay Patil, Riddhi |
| author_facet | Adroja, Pavan Amrutiya, Sanjay Patil, Riddhi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18781 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Smooth relative connections on quiver bundles Adroja, Pavan Amrutiya, Sanjay Patil, Riddhi Differential Geometry 58A05, 53C05, 57R19, 16G20 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. |
| title | Smooth relative connections on quiver bundles |
| topic | Differential Geometry 58A05, 53C05, 57R19, 16G20 |
| url | https://arxiv.org/abs/2602.18781 |