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Chern class map gives isomorphism in higher dimension?

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#algebraic-geometry #vector-bundles
99
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Constructing a vector bundle

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#algebraic-geometry #vector-bundles
206
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Example of a manifold $M$ for which $TM$ and $T^*M$ are not isomorphic.

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#algebraic-topology #differential-topology #vector-bundles
227
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Tietze extension theorem for vector bundles on paracompact spaces

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#general-topology #vector-bundles #topological-k-theory #paracompactness
190
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Parallel transport on the $\mathbb{R}P^1$ tautological line bundle.

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#differential-geometry #differential-topology #vector-bundles
310
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Orthogonal complement of a vector bundle over paracompact base

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#vector-bundles #k-theory
133
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homotopy cofibers (Thom spaces)

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#differential-geometry #algebraic-topology #vector-bundles #topological-k-theory
1.5k
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Tangent bundle to Grassmannian

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#algebraic-geometry #vector-bundles #grassmannian
59
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generator in cohomology (vector bundles)

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#algebraic-topology #homology-cohomology #vector-bundles
131
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Identification of obstructions arising from extending isomorphism between two $U(2)$-bundles over $X$

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#algebraic-topology #vector-bundles #characteristic-classes #obstruction-theory
112
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degrees of line bundles over $y^2 = x^3 + 1$

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#algebraic-geometry #vector-bundles #coherent-sheaves
1.4k
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conjugate bundle

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#vector-bundles #holomorphic-bundles
128
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Extension of a vector bundle

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#complex-geometry #vector-bundles #connections #holomorphic-bundles
279
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Vector Bundle contains the Tautological Line Bundle

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#vector-bundles #line-bundles
1.7k
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Vector Bundle Locally Free Sheaf

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#algebraic-geometry #sheaf-theory #vector-bundles

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