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What can we say about a vector bundle with trivial unit sphere bundle?

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#differential-geometry #vector-bundles #fiber-bundles #characteristic-classes
7.3k
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Comparing notions of degree of vector bundle

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#algebraic-geometry #algebraic-topology #vector-bundles #holomorphic-bundles
353
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Quadratic form on Vector Bundle

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#algebraic-geometry #quadratics #quadratic-forms #vector-bundles
433
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Explicit Calculation of the Euler class for the 2-Sphere using transition functions

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#differential-geometry #differential-topology #vector-bundles
131
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Pullback of indecomposable bundles on an elliptic curve

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#algebraic-geometry #elliptic-curves #vector-bundles
184
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Reference request: Zero set of global section

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#algebraic-geometry #algebraic-topology #vector-bundles #characteristic-classes
440
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Regular sequence of sections of line bundles over a coherent sheaf

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#algebraic-geometry #sheaf-theory #schemes #vector-bundles
882
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When is the symmetric algebra of a vector bundle finitely-generated?

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#algebraic-geometry #vector-bundles
1.2k
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Rank of a coherent sheaf in terms of coefficients of the Hilbert polynomial

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#algebraic-geometry #sheaf-theory #vector-bundles
781
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What exactly is a torsion line bundle?

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#algebraic-geometry #vector-bundles
1.4k
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Lie Derivative of a section on a vector bundle

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#multivariable-calculus #differential-geometry #vector-bundles #lie-derivative
2k
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Existence of a holomorphic connection implies existence of a flat connection

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#differential-geometry #complex-geometry #vector-bundles #connections #holomorphic-bundles
4.1k
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A complex line bundle is trivial if and only if the first Chern class is zero

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#algebraic-topology #vector-bundles #geometric-topology #characteristic-classes #obstruction-theory
286
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a question on oriented bundles and Euler class

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#algebraic-topology #vector-bundles #geometric-topology #characteristic-classes #obstruction-theory
2.4k
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Projection of fiber bundle is a submersion

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#geometry #differential-geometry #riemannian-geometry #vector-bundles #fiber-bundles

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