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15
173
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Poincaré duality maps the Thom class of the normal bundle to $(-1)^{nk}i_*(\mu_M)$

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#algebraic-topology #characteristic-classes
146
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Errors in my calculation of Euler characteristics of $\#\Bbb{T}^{2n}$.

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#sequences-and-series #algebraic-topology #solution-verification #alternative-proof #characteristic-classes
695
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Characteristic classes, Möbius strip, and the cylinder

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#algebraic-topology #characteristic-classes
302
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Prove addition law from duplication formula (for power series associated to elliptic genus)

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#algebraic-topology #commutative-algebra #elliptic-curves #characteristic-classes #formal-power-series
111
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Euler class of a manifold

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#differential-geometry #manifolds #connections #characteristic-classes
87
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Connection with torsion

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#differential-geometry #manifolds #connections #characteristic-classes
69
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Homotopy fiber of the second Stiefel-Whitney class

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#homotopy-theory #characteristic-classes #classifying-spaces
126
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Chern-Weil theory in the cohomological Atiyah-Singer theorem

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#differential-geometry #algebraic-topology #homology-cohomology #characteristic-classes #k-theory
317
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Real $2n$-plane bundle with a complex structure is a complex $n$-plane bundle

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#differential-geometry #vector-bundles #characteristic-classes #almost-complex
101
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Topological K-theory and characteristic classes of module bundles

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#fiber-bundles #projective-module #characteristic-classes #topological-k-theory
242
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Computing a Gromov-Witten invariant

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#algebraic-geometry #vector-bundles #characteristic-classes #obstruction-theory
87
Views

Show these two axioms of Stiefel-Whitney class are equivalent.

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#algebraic-topology #characteristic-classes
192
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Is there a proof via Chern-Weil theory that the first Chern numbers of two $\mathbb R$-isomorphic complex vector bundles are equal mod 2?

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#differential-geometry #vector-bundles #connections #characteristic-classes
54
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$\mathbb{C}P^n$-bundle over $BU(n)$

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#algebraic-topology #characteristic-classes #classifying-spaces
62
Views

Naive question on characteristic classes of $Gr(k,n)$

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#general-topology #vector-bundles #characteristic-classes

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