List questions from vector-bundles

Published on 30 Mar 2026 - 8:12

2k

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Orthogonal complement of a vector bundle

Published on 20 Jul 2012 - 3:52

586

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Does an orientable subbundle of an orientable vector bundle always have a orientable complement?

Published on 25 Aug 2012 - 3:28

2k

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Classify the vector bundles of a manifold.

Published on 05 Sep 2012 - 15:06

609

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Trivilisations of Vector Bundles

Published on 08 Sep 2012 - 16:39

109

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Why a section of $\otimes_{k}E^{*}$ defines a $k$-linear, fiber preserving map from $\oplus_{k}E$ to $M\times \mathbb{R}$?

Published on 09 Sep 2012 - 1:15

2.2k

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How do I get the correct coordinate transition functions for the dual bundle?

Published on 09 Sep 2012 - 4:40

355

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Question on the definition of ample vector bundles

Published on 09 Sep 2012 - 8:08

5.2k

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Understanding the trivialisation of a normal bundle

Published on 30 Mar 2026 - 8:13

588

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The Harder-Narasimhan filtration with inverse slopes.

Published on 10 Sep 2012 - 8:46

832

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Trivialisation of the normal bundle of $S^1$

Published on 30 Mar 2026 - 8:15

1.5k

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Is the trivial bundle ample on an affine variety?

Published on 13 Sep 2012 - 8:08

266

Views

Complexification of a complex bundle.

Published on 14 Sep 2012 - 5:37

294

Views

Example of excess intersection theory?

Published on 28 Mar 2026 - 15:55

141

Views

How to understand the coordinate transition map in $E\otimes E'$?

Published on 15 Sep 2012 - 1:05

List Question

Alternate pullback bundle construction

Orthogonal complement of a vector bundle

Does an orientable subbundle of an orientable vector bundle always have a orientable complement?

Classify the vector bundles of a manifold.

Trivilisations of Vector Bundles

Why a section of $\otimes_{k}E^{*}$ defines a $k$-linear, fiber preserving map from $\oplus_{k}E$ to $M\times \mathbb{R}$?

How do I get the correct coordinate transition functions for the dual bundle?

Question on the definition of ample vector bundles

Understanding the trivialisation of a normal bundle

The Harder-Narasimhan filtration with inverse slopes.

Trivialisation of the normal bundle of $S^1$

Is the trivial bundle ample on an affine variety?

Complexification of a complex bundle.

Example of excess intersection theory?

How to understand the coordinate transition map in $E\otimes E'$?

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