Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606324 | Differential Geometry and its Applications | 2009 | 8 Pages |
Abstract
Let G be a connected reductive linear algebraic group defined over CC with Lie algebra gg. Let (EG,E,ψ,φ,φˆ) be a stable principal Higgs G -sheaf on a compact connected Kähler manifold. We consider all holomorphic sections of the adjoint vector bundle ad(EG)ad(EG) of EGEG that commute with the Higgs field φ. These correspond to the infinitesimal automorphisms of the principal Higgs G -sheaf. Any element of the center of gg gives such a section. We prove that all the sections are given by the center of gg.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Indranil Biswas,