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Is the set of smooth sections of a vector bundle a finite dimensional smooth manifold?

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#differential-geometry #vector-bundles
149
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Using splitting principle to construct to Stiefel Whitney classes

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#vector-bundles #characteristic-classes #topological-k-theory
45
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Vector field in notes defined verses full generality?

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#vector-bundles #vector-fields
405
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Disk Vector Bundle is a Subbundle

Published on
#linear-algebra #algebraic-topology #vector-spaces #vector-bundles
180
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Particular Example of a Thom Space

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#algebraic-topology #vector-spaces #proof-explanation #vector-bundles #fiber-bundles
252
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Higher direct images of a sheaf over the diagonal along a projection vanish

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#algebraic-geometry #complex-geometry #vector-bundles
128
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Disk/Sphere Bundle of the Trivial Bundle.

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#reference-request #vector-bundles #fiber-bundles
328
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Pushforward of structure sheaf under an isogeny splits

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#algebraic-geometry #vector-bundles #abelian-varieties
1.6k
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Trivial normal bundle $NS$ equivalence

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#differential-geometry #differential-topology #smooth-manifolds #vector-bundles
76
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Inverse of bundle isometries in terms of musical isomorphims

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#differential-geometry #riemannian-geometry #vector-bundles
162
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Do smooth embeddings preserve quotient bundles?

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#differential-geometry #differential-topology #riemannian-geometry #smooth-manifolds #vector-bundles
113
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Let $\pi : E \to B$ be a disc-bundle. Why does it induce an isomorphism in (co-)homology?

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#algebraic-topology #homology-cohomology #vector-bundles
251
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Why isomorphic subbundles of codimension $1$ imply isomorphic bundles and quotients?

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#differential-geometry #differential-topology #riemannian-geometry #vector-bundles #quotient-spaces
60
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Category theoretic framework for vector bundle maps on different manifolds

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#differential-geometry #category-theory #vector-bundles
205
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Are every two vector bundles weakly isomorphic?

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#differential-geometry #differential-topology #sobolev-spaces #equivalence-relations #vector-bundles

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