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Euler Classes, Chern Classes, $S^2$ Bundles, and $CP^1$ Bundles

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#algebraic-topology #characteristic-classes
180
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Can we measure how close a vector bundle is to being trivial?

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#differential-geometry #vector-bundles #characteristic-classes
294
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Connecting homomorphism in the Gysin sequence

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#homology-cohomology #fiber-bundles #characteristic-classes
1.6k
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A question on Kronecker Index

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#general-topology #algebraic-topology #characteristic-classes
210
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Determining an explicit line bundle over surface

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#differential-geometry #vector-bundles #characteristic-classes
133
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Analogue in algebra for characteristic classes?

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#algebraic-geometry #algebraic-topology #homological-algebra #characteristic-classes #classifying-spaces
247
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cup product of stiefel-whitney class

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#differential-geometry #algebraic-topology #differential-topology #fiber-bundles #characteristic-classes
192
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If we construct an euler class, why is it that it behaves functoriality (Naturality)? That is:

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#algebraic-topology #vector-bundles #characteristic-classes
83
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classifying map of associated bundles

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#algebraic-topology #lie-groups #fiber-bundles #characteristic-classes #classifying-spaces
11.7k
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Quick question: Chern classes of Sym, Wedge, Hom, and Tensor

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#algebraic-geometry #surfaces #vector-bundles #characteristic-classes #holomorphic-bundles
71
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A question about characteristic classes

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#algebraic-topology #characteristic-classes
460
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Integrality of the $L$-genus for a smooth manifold

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#algebraic-topology #characteristic-classes
442
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Stably equivalent bundles and stable homotopy classes of maps

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#algebraic-topology #vector-bundles #characteristic-classes #classifying-spaces #stable-homotopy-theory
59
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Weyl Groups/Borel

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#lie-groups #topological-groups #characteristic-classes
279
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Characteristic class integral: on what manifold does $\int c_1 \wedge w_2 = \int c_1 \wedge c_1$ hold?

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#differential-geometry #algebraic-topology #mathematical-physics #fiber-bundles #characteristic-classes

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