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15
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How to arrive at frame bundle objects from chart calculation on the base manifold

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#differential-geometry #vector-bundles #connections #principal-bundles
54
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correspondence between differentiable line bundles and elements of $H_1(X,\epsilon^*)$

Published on
#differential-geometry #complex-geometry #vector-bundles #sheaf-cohomology
333
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From sheaf torsors to geometric bundles on schemes

Published on
#algebraic-geometry #vector-bundles #principal-bundles #rigid-analytic-spaces
386
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degree of line bundle as an integral

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#algebraic-geometry #complex-geometry #sheaf-theory #vector-bundles #riemann-surfaces
95
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Pullback of a virtual bundle of dimension $0$ over $BO$

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#differential-geometry #algebraic-topology #vector-bundles
225
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Counterexample: A bundle map which is not a pullback

Published on
#examples-counterexamples #vector-bundles
130
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Showing a certain bundle is trivial

Published on
#differential-geometry #manifolds #tensor-products #vector-bundles #exterior-algebra
94
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Why is this linear vector bundle not trivial?

Published on
#differential-geometry #vector-bundles
151
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Checking that a linear vector bundle on $\mathbb{RP}^n$ is trivial

Published on
#differential-geometry #vector-bundles
244
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Line bundle on a curve is positive iff it has positive degree

Published on
#geometry #differential-geometry #complex-geometry #vector-bundles #riemann-surfaces
399
Views

Normal bundle to a section of $\mathcal{Proj}$ of a rank 2 vector bundle

Published on
#algebraic-geometry #vector-bundles
310
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Examples for short exact sequences of real vector bundles that don't split.

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#general-topology #algebraic-topology #vector-bundles
75
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$X/A\wedge Y/B= (X\times Y)/(X\times B\cup A\times Y)$

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#general-topology #algebraic-topology #homology-cohomology #vector-bundles #topological-k-theory
524
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Line bundles associated to principal circle bundles

Published on
#lie-groups #complex-geometry #vector-bundles #group-actions #principal-bundles
144
Views

Non smooth topological vector bundle of rank 3 base 1?

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#differential-geometry #reference-request #differential-topology #smooth-manifolds #vector-bundles

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