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Moduli of real (res. quaternionic) L-connections

2024/12/03 by Ayush Jaiswal, Jaiswal, Ayush
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Advanced Differential Geometry Research #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2412.02658

Abstract

We have studied irreducible real (respectively, quaternionic) Lie algebroid connections and prove that the Gauge theoretic moduli space has Hausdorff Hilbert manifold structure. This work generalises some known results about simple semi-connections for complex vector bundle on compact complex manifold in real algebraic geometry.

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