Kobayashi–Hitchin correspondence for analytically stable bundles

DOI PDF PDF PDF 47 References Open Access

Description

<p>We prove the existence of an Hermitian–Einstein metric on holomorphic vector bundles with an Hermitian metric satisfying the analytic stability condition, under some assumption for the underlying Kähler manifolds. We also study the curvature decay of the Hermitian–Einstein metrics. It is useful for the study of the classification of instantons and monopoles on the quotients of four-dimensional Euclidean space by some types of closed subgroups. We also explain examples of doubly periodic monopoles corresponding to some algebraic data.</p>

Journal

References(47)*help

See more

Related Projects

See more

Report a problem

Back to top