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Example of non-isomorphic vector bundles with the same element in $K$

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#algebraic-topology #vector-bundles #topological-k-theory
693
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Decomposition of vector bundles over a CW complex

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#algebraic-topology #vector-bundles
90
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Is the total space of this vector bundle embeddable into $\mathbb{R}^3$?

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#algebraic-topology #vector-bundles
2k
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The space of smooth sections of a vector bundle.

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#differential-geometry #vector-bundles
1.9k
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Sum of normal bundle and tangent bundle.

Published on
#manifolds #vector-bundles
285
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Can the disk bundle associated to a vector bundle over a finite CW-complex be obtained by attaching cells?

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#algebraic-topology #homotopy-theory #geometric-topology #vector-bundles
13.5k
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Why is the tangent bundle orientable?

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#differential-geometry #smooth-manifolds #vector-bundles #fiber-bundles #tangent-bundle
839
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Pontryagin classes of a product manifold

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#general-topology #vector-bundles #characteristic-classes
82
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Possible restriction on first nonzero Stiefel-Whitney classes?

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#vector-bundles #characteristic-classes
871
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Orientability of the total space of a vector bundle over an oriented manifold

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#differential-geometry #vector-bundles
100
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Is Transversality invariant by losing Dimension?

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#algebraic-geometry #vector-bundles #characteristic-classes
2.4k
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If a line bundle and its dual both have a section (on a projective variety) does this imply that the bundle is trivial?

Published on
#algebraic-geometry #projective-geometry #vector-bundles
87
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Products of Vector Bundles

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#vector-bundles
805
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The Affine Property of Connections on Vector Bundles

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#differential-geometry #vector-bundles
1k
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understanding this differential operator on a tensor product

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#differential-geometry #tensor-products #differential-forms #complex-geometry #vector-bundles

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