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15
159
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On the isomorphism $\varphi_L^*\mathcal{O}_{\mathbb{P}^n}(1)\cong L$

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#algebraic-geometry #complex-geometry #vector-bundles
566
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Does short exact sequence of vector bundles induce short exact sequence of vector space of sections?

Published on
#differential-geometry #smooth-manifolds #vector-bundles
213
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Is Lie bracket of pull back tangent bundle well defined?

Published on
#differential-geometry #vector-bundles #lie-derivative
344
Views

Connection on pullback bundle.

Published on
#differential-geometry #vector-bundles #connections
215
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The Euler class of any oriented sphere bundle would vanish?

Published on
#algebraic-topology #vector-bundles #characteristic-classes
159
Views

How do fiber bundles help us to solve problems on a manifold?

Published on
#mathematical-physics #vector-bundles
114
Views

Choice of Connection independent on zero set of section

Published on
#differential-geometry #vector-bundles #symplectic-geometry #connections
64
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Find an extension of section of vector bundle along piecewise smooth curve

Published on
#manifolds #smooth-manifolds #vector-bundles
108
Views

Triviality of holomorphic vector bundles over $\mathbb{C}$

Published on
#complex-geometry #vector-bundles #riemann-surfaces #sheaf-cohomology #holomorphic-bundles
142
Views

Computing $\mathrm{Vect}_k(M)$?

Published on
#general-topology #algebraic-topology #vector-bundles
78
Views

About the Index theorems

Published on
#differential-geometry #partial-differential-equations #reference-request #differential-topology #vector-bundles
134
Views

Bott&Tu, Definition of the Euler class of a vector bundle

Published on
#algebraic-topology #differential-topology #vector-bundles #fiber-bundles #characteristic-classes
56
Views

An $S^{k-1}$-bundle with structure group $O(k)$ comes from a Riemannian vector bundle

Published on
#differential-geometry #vector-bundles
79
Views

Differential forms and behaviour respect product

Published on
#differential-geometry #smooth-manifolds #differential-forms #vector-bundles
157
Views

Conventions of Thom isomorphism and orientations

Published on
#algebraic-topology #homology-cohomology #vector-bundles #orientation

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