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15
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characteristic classes arising from connections are well-defined

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#differential-geometry #vector-bundles #connections #characteristic-classes
148
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Thom space, homotopy group and cohomology group

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#algebraic-topology #differential-topology #vector-bundles #spectral-sequences #cobordism
41
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Two approaches to the definition of a connection

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#riemannian-geometry #tensor-products #tensors #vector-bundles #connections
320
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The fiber bundle given by a cocycle.

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#differential-geometry #manifolds #vector-bundles
801
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Holomorphic line bundles over $\mathbb{CP}^n$ and the Hirzebruch surfaces

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#algebraic-geometry #complex-geometry #vector-bundles #projective-space
415
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Thom classes and orientability.

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#algebraic-topology #vector-bundles
657
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Definition of blowing-up along a complex submanifold (Huybrechts)

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#differential-geometry #algebraic-geometry #complex-geometry #vector-bundles #blowup
129
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Virtual vector bundles, Grothendieck group, and a pair of bundles

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#differential-geometry #algebraic-topology #differential-topology #vector-bundles #characteristic-classes
644
Views

Definition of $\operatorname{Pic}^0(V)$ for $V$ a singular variety

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#algebraic-geometry #vector-bundles #singularity-theory #picard-scheme
558
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Why do the first Chern classes of these line bundles span the Dolbeault cohomology group $H^{1,1}(X;\mathbb{R})$?

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#algebraic-geometry #complex-geometry #vector-bundles #characteristic-classes
69
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Transition maps for holomorphic vector bundle

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#vector-bundles #complex-manifolds
103
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Spin groups and the Quaternionic Representation

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#group-theory #representation-theory #lie-groups #vector-bundles #spin-geometry
74
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Example for a Vector Bundle That is Not of Bounded Geometry

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#differential-geometry #vector-bundles
284
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A compact complex manifold admits an ample line bundle if and only if it is projective

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#differential-geometry #algebraic-geometry #complex-geometry #vector-bundles
39
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Jacobi fields as "pointing to" nearby geodesics: can we form "triangles"?

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#differential-geometry #vector-bundles #geodesic

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