Tautological bundle

（重定向自Twisting sheaf）

In mathematics, the tautological bundle is a vector bundle occurring over a Grassmannian in a natural tautological way: the fiber of the bundle over a vector space V (a point in the Grassmannian) is V itself. The dual of the tautological bundle has fiber over a vector space V that is the dual vector space of V. In the case of projective space the tautological bundle is known as the tautological line bundle.

单词	Twisting sheaf
释义	Twisting sheaf 英语百科 Tautological bundle （重定向自Twisting sheaf） In mathematics, the tautological bundle is a vector bundle occurring over a Grassmannian in a natural tautological way: the fiber of the bundle over a vector space V (a point in the Grassmannian) is V itself. The dual of the tautological bundle has fiber over a vector space V that is the dual vector space of V. In the case of projective space the tautological bundle is known as the tautological line bundle.
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