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15
59
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Proof that the push-forward of a sheaf is unstable

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#algebraic-geometry #sheaf-theory #vector-bundles #stability-theory #intersection-theory
64
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Equivalence of $L^2$ norms on a vector bundle

Published on
#differential-geometry #vector-bundles
94
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Is local vector bundle chart a homeomorphism, diffeomorphism, or bijection?

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#differential-geometry #differential-topology #vector-bundles
37
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Projective module base change

Published on
#vector-bundles #projective-module #k-theory
102
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Motivation for Connections over smooth manifolds

Published on
#derivatives #differential-geometry #euclidean-geometry #vector-bundles #connections
44
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Non-zero homogeneous polynomials can be considered as sections of $\mathcal{O}(k)$

Published on
#differential-geometry #complex-geometry #vector-bundles #line-bundles
126
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Vertical bundle and tangent bundle of the fiber

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#differential-geometry #manifolds #differential-topology #vector-bundles #fiber-bundles
149
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Connection Leibniz rule

Published on
#riemannian-geometry #vector-bundles #connections
113
Views

How do I view the tangent bundle of 2-sphere as pullback from the universal bundle?

Published on
#algebraic-topology #vector-bundles #grassmannian #classifying-spaces
64
Views

Question about Clifford modules

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#riemannian-geometry #mathematical-physics #vector-bundles #clifford-algebras
120
Views

Is a vector bundle which is trivial on a smooth submanifold trivial in a neighbourhood?

Published on
#differential-geometry #solution-verification #differential-topology #vector-bundles #characteristic-classes
78
Views

The universal sub-bundle on Gr(2,4) is stable and exceptional

Published on
#algebraic-geometry #vector-bundles #grassmannian
124
Views

Tensor bundles are vector bundles

Published on
#manifolds #tensors #vector-bundles #fiber-bundles
68
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Definitions of the Atiyah class

Published on
#algebraic-geometry #sheaf-theory #vector-bundles
49
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Why is $R_p:T_pM\times T_pM \to \operatorname{Hom}(E_p,E_p)?$

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#riemannian-geometry #smooth-manifolds #vector-bundles #curvature

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