説明
<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>
収録刊行物
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- Transactions of the American Mathematical Society
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Transactions of the American Mathematical Society 373 (1), 551-596, 2019-10-01
American Mathematical Society (AMS)
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詳細情報 詳細情報について
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- CRID
- 1360005519420673920
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- ISSN
- 10886850
- 00029947
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- データソース種別
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- Crossref
- KAKEN