A note on singular Hermitian Yang-Mills connections. (English) Zbl 1525.83008
Summary: We give an example of a homogeneous reflexive sheaf over \(\mathbb{C}^3\) which admits a non-conical Hermitian Yang-Mills connection. This is expected to model bubbling phenomenon along complex codimension \(2\) submanifolds when the Fueter section takes zero value.
MSC:
83C40 | Gravitational energy and conservation laws; groups of motions |
53C07 | Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) |
55N30 | Sheaf cohomology in algebraic topology |
53B25 | Local submanifolds |