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arxiv: 2504.12467 · v1 · pith:KWCFCLHTnew · submitted 2025-04-16 · 🧮 math.DG · math.AG

Equivariant vector bundles over topological toric manifolds

Yong Cui , Amin Gholampour This is my paper
classification 🧮 math.DG math.AG
keywords topologicalvectorbundleequivariantsmoothtoricarxivbundles
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We prove that every topological/smooth $\T=(\C^{*})^{n}$-equivariant vector bundle over a topological toric manifold of dimension $2n$ is a topological/smooth Klyachko vector bundle in the sense of arXiv:2504.02205.

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