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Chern Character of the dual bundle

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#differential-geometry #algebraic-topology #vector-bundles #characteristic-classes #k-theory
221
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$C^\infty(M)$-linear maps are local

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#differential-geometry #algebraic-geometry #reference-request #commutative-algebra #vector-bundles
217
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Is it true that $\Gamma(\Lambda(T^*M)) \cong \Lambda(\Gamma(T^*M))$?

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#differential-geometry #differential-forms #vector-bundles #exterior-algebra
211
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Pushforward of tangent bundle. Can it be $0$?

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#algebraic-geometry #sheaf-theory #vector-bundles #schemes
418
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Euler class of tautological line bundle over $\mathbf{HP}^n$.

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#algebraic-topology #vector-bundles #characteristic-classes
673
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Injective morphisms of locally free sheaves and fiberwise injectivity of vector bundles

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#differential-geometry #algebraic-geometry #complex-geometry #sheaf-theory #vector-bundles
80
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Bass-Quillen conjecture for non-affine case

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#algebraic-geometry #vector-bundles #conjectures #algebraic-vector-bundles
117
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(lectures) Reference request for Vector bundles and characteristic classes

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#differential-geometry #reference-request #differential-topology #vector-bundles #characteristic-classes
79
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Conditions for extending a restricted vector bundle of an embedded submanifold to the whole manifold

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#manifolds #smooth-manifolds #vector-bundles #topological-vector-spaces
59
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Fiber of a vector bundle at a point on a smooth curve

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#algebraic-geometry #vector-bundles
477
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Category of vector bundles with connections

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#differential-geometry #vector-bundles #connections
845
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Vector bundle with flat connection over simply connected manifold is trivial

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#differential-geometry #vector-bundles #connections
87
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Fiber from $S^1$ to $\mathbb{R} P^1$ that does not admit a section.

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#differential-geometry #vector-bundles #fiber-bundles
1.3k
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What is the degree of a vector bundle?

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#algebraic-geometry #vector-bundles
54
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Symmetric deformation of vector bundles

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#algebraic-geometry #vector-bundles

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