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15
313
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Chern classes of a rank two vector bundle

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#algebraic-geometry #vector-bundles #projective-geometry #characteristic-classes #coherent-sheaves
83
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Finding explicit form of the first characteristic class of a fiber bundle over $S^2$

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#algebraic-topology #fiber-bundles #characteristic-classes #obstruction-theory
244
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How can I compute the chern roots of a vector bundle using the characteristic classes?

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#algebraic-geometry #algebraic-topology #characteristic-classes
138
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questions about characteristic classes

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#algebraic-topology #characteristic-classes
29
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Transition function and orientation-reversing patches on a nonorientable manifold

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#algebraic-topology #manifolds #fiber-bundles #characteristic-classes #orientation
149
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Using splitting principle to construct to Stiefel Whitney classes

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#vector-bundles #characteristic-classes #topological-k-theory
185
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Question about Pontryagin numbers and cohomology sequence of a pair.

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#algebraic-topology #vector-bundles #characteristic-classes
529
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Disjoint union of the torus and the sphere is a boundary of a compact manifold.

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#general-topology #algebraic-topology #characteristic-classes #cobordism
118
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Showing $\mathbb{R}P^2 \times \mathbb{R}P^2$ and $\mathbb{R}P^4$ do not have the same Stiefel-Whitney numbers.

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#general-topology #algebraic-topology #characteristic-classes #cobordism
216
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Obstruction for nonzero section of nonorientable vector bundle

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#reference-request #algebraic-topology #sheaf-theory #vector-bundles #characteristic-classes
201
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Calculation of Chern number of $U(N)$ principal bundle

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#algebraic-topology #characteristic-classes
187
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Relation between homotopy group and the index

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#algebraic-topology #characteristic-classes
685
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Integral of Euler class of tangent bundle and the generalized Gauss-Bonnet Theorem

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#differential-geometry #manifolds #vector-bundles #characteristic-classes
1.2k
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First Chern class of the tangent bundle of the sphere starting from a Riemannian metric

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#differential-geometry #connections #characteristic-classes
90
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Meaning of $c_1(\mathfrak s)^2$.

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#algebraic-topology #characteristic-classes #low-dimensional-topology

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