English

Moduli spaces of Hom-Lie algebroid connections

Differential Geometry 2025-05-20 v1 Rings and Algebras

Abstract

We have studied irreducible Hom-Lie algebroid connections for Hom-bundle and prove that the H-gauge theoretic moduli space has a Hausdorff Hilbert manifold structure. This work generalizes some known results about simple semi-connections and Lie algebroid connections for complex vector bundles on compact complex manifold.

Keywords

Cite

@article{arxiv.2505.11954,
  title  = {Moduli spaces of Hom-Lie algebroid connections},
  author = {Ayush Jaiswal},
  journal= {arXiv preprint arXiv:2505.11954},
  year   = {2025}
}

Comments

This is first draft, any comments are most welcome. 21 pages