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First Whitney-Stiefel class of normal bundle of the open Mobius band in $\Bbb R^3$

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#differential-geometry #algebraic-topology #smooth-manifolds #characteristic-classes
91
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Question in Milnor&Stacheff - Characteristic Classes, Construction of Chern Classes

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#algebraic-topology #vector-bundles #characteristic-classes
119
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Milnor&Stacheff, Cohomology of infinite complex Grassmann

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#algebraic-topology #proof-explanation #vector-bundles #characteristic-classes
158
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What is the meaning of $KO^{-1}(S^1)$?

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#vector-bundles #characteristic-classes #k-theory #topological-k-theory
223
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Pullback for Atiyah classes?

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#algebraic-geometry #algebraic-topology #vector-bundles #characteristic-classes
56
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Given an element $\omega \in H^{(1,1)}(X,\mathbb{C})$ how to construct a line bundle with chern class $\omega$?

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#algebraic-geometry #complex-geometry #algebraic-curves #characteristic-classes #line-bundles
80
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How to write the second Stiefel-Whitney class $w_2(TM)$ as an explicit cochain?

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#differential-geometry #algebraic-topology #differential-topology #geometric-topology #characteristic-classes
53
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Equivalent definitions Stiefel - Whitney / Chern - classes

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#algebraic-topology #homology-cohomology #projective-space #characteristic-classes #grassmannian
533
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Holomorphic line bundles with trivial Chern class are flat

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#differential-geometry #algebraic-geometry #complex-geometry #characteristic-classes #line-bundles
141
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How to construct a embedding from $\mathbb{R}{\text P}^{2n+1}$ to $\mathbb{R}^{4n+1}$

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#differential-geometry #smooth-manifolds #characteristic-classes
214
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The Euler class of any oriented sphere bundle would vanish?

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#algebraic-topology #vector-bundles #characteristic-classes
48
Views

Can we find a constructible sheaf whose characteristic class is the given lagrangian cycle.

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#smooth-manifolds #sheaf-theory #sheaf-cohomology #characteristic-classes
133
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Bott&Tu, Definition of the Euler class of a vector bundle

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#algebraic-topology #differential-topology #vector-bundles #fiber-bundles #characteristic-classes
115
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Obstruction to a Spin structure on a bundle ξ, and ξ ⊕ $n$ det ξ

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#differential-geometry #differential-topology #fiber-bundles #characteristic-classes #spin-geometry
395
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Splitting of the tangent bundle and Euler characteristic of surfaces

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#differential-geometry #algebraic-topology #differential-topology #vector-bundles #characteristic-classes

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