Abstract
Given a complex manifold X, a normal crossing divisor D ⊂ X whose irreducible components D1, …, Ds are smooth, and a choice of natural numbers [Formula: see text], we construct a manifold [Formula: see text] with an action of a torus Γ and we prove that some full subcategory of the category of Γ-equivariant vector bundles on [Formula: see text] is equivalent to the category of parabolic vector bundles on (X, D) in which the lengths of the filtrations over each irreducible component of D are given by [Formula: see text]. When X is Kaehler, we study the Kaehler cone of [Formula: see text] and the relation between the corresponding notions of slope-stability.
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