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Curvature form, tangent bundle and structural group.

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#algebraic-topology #characteristic-classes
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How to calculate characteristic classes of tensor products?

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#algebraic-topology #vector-bundles #characteristic-classes
1.1k
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Chern classes tangent bundle $\mathbb{C}P^n$.

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#algebraic-topology #characteristic-classes
152
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What is the geometric meaning of powers of the first Stiefel-Whitney class?

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#algebraic-topology #fiber-bundles #characteristic-classes
194
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Non-(stable)-triviality of the tautological bundles

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#vector-bundles #characteristic-classes #grassmannian
272
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Chern Character Isomorphism for non-CW complexes

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#reference-request #homology-cohomology #characteristic-classes #topological-k-theory
931
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Does the splitting principle define chern classes for vector bundles if they are known for line bundles?

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#algebraic-topology #characteristic-classes
2.2k
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Chern class of tautological line bundle

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#differential-geometry #vector-bundles #characteristic-classes
985
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Thom class: Why are the two definitions equivalent?

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#algebraic-topology #differential-topology #characteristic-classes
602
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Dropping the orientable condition from the Thom isomorphism theorem.

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#algebraic-topology #homology-cohomology #vector-bundles #characteristic-classes
112
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Representation of an oriented manifold as a set of common zeroes of smooth functions

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#differential-geometry #algebraic-topology #characteristic-classes
1k
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To prove a vector bundle $\xi$ is orientable $\iff w_1(\xi)=0$

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#algebraic-topology #vector-bundles #characteristic-classes
1.4k
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Euler class of dual bundle

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#vector-bundles #characteristic-classes
2.9k
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When characteristic classes determine a bundle?

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#algebraic-geometry #algebraic-topology #differential-topology #vector-bundles #characteristic-classes
942
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Questions on Chern characters.

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#algebraic-geometry #complex-geometry #characteristic-classes

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