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15
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How do we describe maps of line bundles on $\mathbb{P}^1$?

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#algebraic-geometry #complex-geometry #vector-bundles
56
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Finding a Retraction for a Collar Neighborhood

Published on
#differential-topology #smooth-manifolds #vector-bundles #manifolds-with-boundary
166
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Recognising Chern-Weil forms

Published on
#differential-geometry #vector-bundles #characteristic-classes
116
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Covariant derivative of vector bundle map $\Psi:\xi\rightarrow \eta$

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#differential-geometry #vector-bundles
209
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A satisfying definition of quotient bundles

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#differential-geometry #algebraic-topology #differential-topology #vector-bundles
64
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Is the canonical $(n-1)$-plane bundle over the deleted total space of an orientable $n$-plane bundle orientable?

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#algebraic-topology #vector-bundles #characteristic-classes
457
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Pullbacks and isomorphisms of vector bundles

Published on
#differential-geometry #algebraic-geometry #vector-bundles
55
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Equivalence of definition of wedge product on $\mathrm{End}(E)$.

Published on
#differential-geometry #vector-bundles #exterior-algebra
879
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A formula for the second Chern class of the tensor product of a line bundle and vector bundle

Published on
#algebraic-geometry #manifolds #vector-bundles #intersection-theory #characteristic-classes
421
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How to calculate the Euler class, Euler characteristic and top Chern class of $End(E)$?

Published on
#algebraic-geometry #vector-bundles #intersection-theory #characteristic-classes
16
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isomorphism of in space of section of a vector bundle

Published on
#vector-bundles
29
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Bounds on covariant derivative on a unitary trivialization $\Psi:u^*(TM)\rightarrow \mathbb{R}\times [0,1]\times \mathbb{R}^{2n}$

Published on
#differential-geometry #riemannian-geometry #differential-topology #vector-bundles
24
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How to define continuous linear functional in the space of section of a vector bundle?

Published on
#distribution-theory #vector-bundles
152
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Riemann Roch Theorem for Rank $2$ Bundles

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#algebraic-geometry #vector-bundles #algebraic-curves
182
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A restriction of a vector bundle on a submanifold

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#differential-geometry #vector-bundles

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