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15
157
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Proving a $k$-multilinear symmetric map is invariant iff a condition is satisfied

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#tensors #characteristic-classes #invariance
88
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$w(\mathbb{R}P^q) = 1$ if and only if $q = 2^k - 1$ for some $k$

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#algebraic-topology #vector-bundles #characteristic-classes
1.1k
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Literature concerning characteristic classes?

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#reference-request #algebraic-topology #characteristic-classes
1.1k
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Chern-Gauss-Bonnet theorem for even-dimensional manifolds with boundary

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#differential-geometry #algebraic-topology #manifolds #riemannian-geometry #characteristic-classes
245
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Pontryagin class of a wedge product of vector bundles.

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#differential-geometry #algebraic-topology #fiber-bundles #characteristic-classes
477
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Hirzebruch's $L$-polynomial and $\mathbb{C}P^n$

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#algebraic-topology #projective-space #characteristic-classes
110
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Are these "Stiefel-Whitney numbers" invariants of the (smooth)topology of the total space?

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#algebraic-topology #differential-topology #vector-bundles #characteristic-classes
478
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All tangential Stiefel-Whitney numbers of $\mathbb{R}P^q$ are zero iff $q$ is odd, reference?

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#reference-request #algebraic-topology #projective-space #characteristic-classes
282
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Stiefel-Whitney class of homotopy equivalent manifolds

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#differential-geometry #algebraic-topology #manifolds #homology-cohomology #characteristic-classes
2.7k
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Which tangent bundles of real and complex projective spaces are trivial?

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#algebraic-topology #differential-topology #vector-bundles #projective-space #characteristic-classes
489
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Relation between certain Pontryagin class and Chern class

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#algebraic-topology #characteristic-classes
858
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Quick question: Second chern class of a tensor product of vector bundles

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#algebraic-geometry #reference-request #vector-bundles #characteristic-classes
764
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the first chern class of complex vector bundles

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#differential-geometry #algebraic-topology #homology-cohomology #fiber-bundles #characteristic-classes
356
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Faulty Argument: Chern number of U(1)-bundle over $T^2$ is zero?

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#differential-geometry #differential-topology #homology-cohomology #characteristic-classes
202
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Why the combinatorial second Stiefel-Whitney class is a cocycle?

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#differential-geometry #algebraic-topology #characteristic-classes #spin-geometry

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