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15
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On the proof of Poincaré dual of transversal intersection

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#differential-geometry #algebraic-topology #vector-bundles #characteristic-classes #poincare-duality
902
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Frobenius theorem to prove that flat connection admits a local basis of flat sections

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#differential-geometry #vector-bundles #connections
407
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Vector bundles in different Grothendieck topologies

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#algebraic-geometry #vector-bundles
193
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References: Equivalence between local systems and vector bundles (with flat connections)

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#differential-geometry #vector-bundles #connections #principal-bundles
221
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Smooth map between vector bundles from local coordinates

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#differential-geometry #smooth-manifolds #vector-bundles
343
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Relative Hitchin-Kobayashi correspondence and relative Hermitian Yang-Mills connections

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#differential-geometry #algebraic-geometry #complex-geometry #vector-bundles #kahler-manifolds
2.1k
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Flat bundle and constant transition functions

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#differential-geometry #vector-bundles #connections
445
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Vector bundle definition, what topology?

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#definition #vector-bundles
193
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Bundles on Grassmannians

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#linear-algebra #algebraic-geometry #vector-bundles #projective-geometry #grassmannian
389
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Direct Sum of bundle and its orthogonal complement is trivial

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#differential-geometry #vector-bundles
265
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Is there a coordinate free proof for this result?

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#differential-geometry #riemannian-geometry #alternative-proof #vector-bundles #semi-riemannian-geometry
339
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Semi-stable locally free sheaves on a curve of constant slope form an abelian category

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#abstract-algebra #algebraic-geometry #sheaf-theory #vector-bundles #coherent-sheaves
1.1k
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What does it mean for a covering to be trivial and one other quetsion from Lawson and Micheldohn's "Spin Geometry"

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#algebraic-topology #vector-bundles #covering-spaces
64
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How does the class of the tangent bundle behave in the K-theory ring?

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#differential-geometry #vector-bundles #topological-k-theory
322
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How to compute the determinat of $\mathcal F \otimes \mathcal G$ and $\mathcal F \oplus \mathcal G$?

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#geometry #algebraic-geometry #determinant #vector-bundles

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