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15
169
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Is a vector field a section or a tangent vector?

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#differential-geometry #manifolds #vector-bundles #vector-fields #tangent-bundle
230
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Is a Chern class a property of a vector bundle or of a section of the bundle?

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#differential-geometry #algebraic-topology #mathematical-physics #vector-bundles
84
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Courant Bracket

Published on
#geometry #differential-geometry #vector-bundles
763
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“Connection form” associated to a connection on a vector bundle

Published on
#differential-geometry #differential-forms #vector-bundles #connections
342
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Differential structures of sum bundle, tangent bundle, dual bundle, tensor bundle, quotient bundle, etc

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#differential-geometry #vector-bundles #tangent-bundle
228
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Koszul exact sequence of vector bundle

Published on
#algebraic-geometry #homological-algebra #sheaf-theory #vector-bundles
134
Views

Isomorphism involving push forward of sheaf

Published on
#algebraic-geometry #sheaf-theory #vector-bundles
90
Views

Why isn't $\nabla_X(e_j)$ automatically a flat section?

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#general-topology #proof-verification #differential-geometry #differential-topology #vector-bundles
521
Views

Fiber-preserving diffeomorphism

Published on
#vector-spaces #smooth-manifolds #vector-bundles #fiber-bundles #diffeomorphism
297
Views

homotopy equivalent structure groups have h.e. classifying spaces (if $G\simeq H$ then $BG\simeq BH$)

Published on
#homotopy-theory #vector-bundles #principal-bundles #classifying-spaces
428
Views

Extending a vector to a section of a vector bundle parallel with respect to a given connection

Published on
#differential-geometry #vector-bundles #connections
149
Views

Bundles over bundles

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#algebraic-geometry #algebraic-topology #differential-topology #vector-bundles #fiber-bundles
223
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How to view complex vector bundle as a real vector bundle

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#differential-geometry #vector-bundles
83
Views

Relation between $G$ bundle over free $G$ space $X$ and vector bundles over $X/G$ (Atiyah)

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#differential-geometry #vector-bundles #k-theory
481
Views

A sheaf of differential forms is the sheafification of presheaf of skew-symmetric forms on vector fields?

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#smooth-manifolds #differential-forms #vector-bundles #exterior-algebra

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