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15
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Chern class of a vector bundle and the associated projective space bundle

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#algebraic-geometry #vector-bundles
96
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Are real linear maps of smooth sections locally determined?

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#differential-geometry #manifolds #differential-topology #smooth-manifolds #vector-bundles
66
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Is the normal bundle construction idempotent?

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#differential-topology #vector-bundles
148
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Conditions for a Connection to be a Metric(or Chern) Connection

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#complex-geometry #vector-bundles #holomorphic-bundles #holonomy
104
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Relationship between locally trivial and locally non vanishing section.

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#differential-geometry #algebraic-topology #vector-bundles
139
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Complex bundles and (quasi)-complex structures of manifolds

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#algebraic-topology #complex-geometry #vector-bundles #characteristic-classes #complex-manifolds
519
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Direct image of a line bundle is a vector bundle

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#differential-geometry #algebraic-geometry #vector-bundles #riemann-surfaces
171
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What is the description of the (local) sections of the associated vector bundle of a principal bundle?

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#differential-geometry #vector-bundles #connections #principal-bundles
2k
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How to understand / imagine what is a line bundle

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#abstract-algebra #algebraic-geometry #vector-bundles #fiber-bundles
237
Views

Why is this wrong? Orientation-reversing vector bundle isomorphism on even-rank vector bundles

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#vector-bundles
426
Views

Chern classes, classification of bundles, and Bockstein morphism

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#algebraic-topology #smooth-manifolds #vector-bundles #characteristic-classes #tangent-bundle
120
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Why doesn't ever smooth vector bundle admits a line bundle?

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#differential-geometry #differential-topology #smooth-manifolds #vector-bundles
498
Views

Vertical bundle of a principal bundle. Isn't it always trivial?

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#smooth-manifolds #vector-bundles #fiber-bundles #principal-bundles
83
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Smooth manifold $F$ which is a vector space of finite dimensional $k$, and diffeomorphism with $\mathbb{R}^k$

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#analysis #differential-geometry #manifolds #smooth-manifolds #vector-bundles
1.2k
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Group action induced on the cotangent bundle.

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#differential-geometry #vector-bundles #group-actions #moment-map #co-tangent-space

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