Hyperholomorphic bundles

dc.creatorVerbitsky, Misha
dc.date1993-07-29
dc.date.accessioned2026-07-07T09:05:53Z
dc.date.available2026-07-07T09:05:53Z
dc.descriptionHyperholomorphic bundle is a bundle with connection defined over a hyperkaehler manifold such that this connection is holomorphic with respect to all complex structures induced by a hyperkaehler structure. A hyperholomorphic connection is Yang-Mills. If a stable bundle has first two Chern classes invariant with respect to ${\Bbb H}$, then it admits a hyperholomorphic connection. Deformation spaces of hyperholomorphic bundles are hyperkaehler. There are no higher obstructions to a deformation besides Ioneda product. This deformation space does not depend on a base manifold.
dc.description43 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/alg-geom/9307008
dc.identifierhttp://arxiv.org/abs/alg-geom/9307008
dc.identifierJourn. of Alg. Geom., vol. 5 no. 4 pp. 633-669
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149827
dc.subjectAlgebraic Geometry
dc.titleHyperholomorphic bundles
dc.typetext

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