Klyachko vector bundles over topological toric manifolds

Yong Cui

Klyachko vector bundles over topological toric manifolds

Algebraic Geometry 2025-04-04 v1 Differential Geometry

Authors: Yong Cui

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.

Keywords

Klyachko vector bundles topological toric manifolds equivariant vector bundles toric varieties classification

Cite

@article{arxiv.2504.02205,
  title  = {Klyachko vector bundles over topological toric manifolds},
  author = {Yong Cui},
  journal= {arXiv preprint arXiv:2504.02205},
  year   = {2025}
}

Comments

28 pages

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