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15
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If $M$ is a compact oriented parallelizable 4 dimensional manifold, then it admits a flat metric

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#differential-geometry #riemannian-geometry #characteristic-classes
74
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Wu formula for $\mathbb{Z}_N$ classes

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#algebraic-topology #homology-cohomology #characteristic-classes
440
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Why the first Chern class of a line bundle can be non-zero

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#differential-geometry #vector-bundles #curvature #characteristic-classes #line-bundles
110
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Explicit computation of the first Chern class of a quintic three-fold

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#complex-analysis #riemannian-geometry #characteristic-classes #kahler-manifolds
212
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Integrating the top Chern class, where am I going wrong?

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#differential-geometry #vector-bundles #characteristic-classes #holomorphic-bundles
132
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2-plane bundle over a surface splitting as line bundles

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#algebraic-topology #differential-topology #vector-bundles #characteristic-classes
86
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Show that $\mathbb{CP}^{2n}$ is not the boundary of a $4n+1$ dimensional Manifold using Chern classes

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#homology-cohomology #complex-geometry #vector-bundles #characteristic-classes
114
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Gauss-Bonnet theorem for vector bundles on manifolds with boundary

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#vector-bundles #curvature #characteristic-classes #manifolds-with-boundary
19
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Why is $c((n+1)H_n^\ast) = c(H_n^\ast)^{n+1}$ for the total Chern class c.

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#complex-geometry #vector-bundles #projective-space #characteristic-classes
143
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Derivation of Chern-Simons invariant

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#differential-geometry #characteristic-classes
843
Views

Why does a vector bundle have the same first Chern class as its determinant bundle?

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#vector-bundles #characteristic-classes
452
Views

Formula for (total) chern classes in presence of a exact sequence with finite number of terms

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#algebraic-geometry #reference-request #algebraic-topology #vector-bundles #characteristic-classes
151
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Symplectic Chern class and and cohomology class of symplectic form

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#differential-geometry #complex-geometry #symplectic-geometry #characteristic-classes
358
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Blow up of a Kähler manifold is Kähler

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#differential-geometry #complex-geometry #characteristic-classes #blowup #line-bundles
157
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Expression for ith Chern class in terms of trace of curvature

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#differential-geometry #characteristic-classes

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