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15
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$E^* \otimes F = \text{Hom}(E,F)$ for $E,F$ vector bundles

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#vector-bundles
51
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Holomorphic bundle - holomorphic structure problem

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#complex-geometry #vector-bundles #holomorphic-bundles
69
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(1,0)-forms/bundle problem

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#algebraic-geometry #complex-geometry #vector-bundles #holomorphic-bundles
240
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Understanding the orientation of vector bundles via double cover

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#vector-bundles
132
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morphism between pullback bundles

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#differential-geometry #vector-bundles #pullback
243
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What is smooth structure on the exterior algebra of cotangent bundle?

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#differential-geometry #manifolds #vector-bundles #fiber-bundles
84
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Smooth structure and vector bundle structure on $L_{alt}^k(TM)$

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#differential-geometry #differential-topology #differential-forms #vector-bundles #tangent-bundle
250
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Smooth vector bundles continuously isomorphic are smoothly isomorphic

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#differential-topology #vector-bundles
932
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Definition of metric on a vector bundle

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#differential-geometry #vector-bundles
225
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When are the vector bundles $E$ and $E^\vee \otimes \det(E)$ isomorphic?

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#algebraic-geometry #complex-geometry #vector-bundles
140
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Relating pullbacks of tautological bundles

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#algebraic-geometry #vector-bundles #grassmannian
135
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Chern classes of $S^2$

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#differential-geometry #vector-bundles #characteristic-classes
882
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Integration along fibers is independent of the lift

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#integration #differential-forms #vector-bundles
165
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Is $M \oplus e^1 = e^2$ , i.e. trivial?

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#algebraic-topology #vector-bundles #topological-k-theory
54
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Decomposition of section pushforward

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#differential-geometry #vector-bundles #lie-algebroids

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