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Representations and Vector Bundles over the Classifying Space

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#differential-geometry #algebraic-topology #representation-theory #vector-bundles #characteristic-classes
317
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Pullback of Thom class by a non-zero section

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#homology-cohomology #vector-bundles #fiber-bundles #characteristic-classes
133
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homology Euler class

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#differential-geometry #algebraic-topology #differential-topology #characteristic-classes
134
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Invariant polynomial on matrices only involves diagonal elements?

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#linear-algebra #matrices #polynomials #characteristic-classes
272
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How is a condition on symplectic triviality expressed in Chern classes?

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#differential-topology #characteristic-classes #morse-theory
224
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Cup product of Euler classes: What happens to the corresponding bundles?

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#homology-cohomology #products #fiber-bundles #characteristic-classes
133
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$\int_H c_1 (\mathcal O_{\mathbb P^2(k)}|_H)$, integral of restriction of Chern class to a projective hypersurface

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#algebraic-geometry #algebraic-topology #complex-geometry #characteristic-classes
190
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Eilenberg–MacLane space for explicit group examples

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#algebraic-topology #manifolds #characteristic-classes #classifying-spaces #eilenberg-maclane-spaces
391
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K-theory and usual (cohomoogical) Euler class

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#algebraic-topology #differential-topology #characteristic-classes #topological-k-theory
460
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Cartan subalgebra and orbits of the adjoint action

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#differential-geometry #algebraic-topology #lie-groups #lie-algebras #characteristic-classes
48
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The proof of $c_1(E)\in \tilde{H}^2(X,\mathbb{Z})$ when $E\to X$ is a complex line bundle.

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#differential-geometry #vector-bundles #characteristic-classes
141
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Pontryagin charge of $SO(3)$ connection on a bundle over a $4$-manifold

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#differential-geometry #geometric-topology #characteristic-classes
166
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SO(3) gauge bundle on $\mathbb{CP}^2$ with a minimal instanton number

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#differential-geometry #algebraic-topology #geometric-topology #fiber-bundles #characteristic-classes
91
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$U(1)$ instanton number on manifolds without boundary

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#algebraic-topology #characteristic-classes
22
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Relation of tangential and normal characteristic numbers

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#algebraic-topology #characteristic-classes

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