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arXiv · 2504.02205

Klyachko vector bundles over topological toric manifolds

Yong Cui
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Abstract

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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Yong Cui. 2025-04-03. Klyachko vector bundles over topological toric manifolds. https://arxiv.org/abs/2504.02205

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