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arxiv: 2504.02205 · v1 · pith:RVH4R5WNnew · submitted 2025-04-03 · 🧮 math.AG · math.DG

Klyachko vector bundles over topological toric manifolds

classification 🧮 math.AG math.DG
keywords bundlesvectorclassificationklyachkotopologicaltoricaffinecharts
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We give a Klyachko-type classification of topological/smooth/holomorphic $(\mathbb{C}^{*})^n$-equivariant vector bundles that are equivariantly trivial over invariant affine charts. This generalizes Klyachko's classification of toric vector bundles.

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