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15
235
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Submanifold of a parallelizable manifold

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#algebraic-topology #differential-topology #smooth-manifolds #vector-bundles
297
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Transition functions on invertible sheaves

Published on
#algebraic-geometry #sheaf-theory #vector-bundles #schemes #quasicoherent-sheaves
216
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Real line bundles on the Klein bottle

Published on
#algebraic-topology #surfaces #vector-bundles #geometric-topology
311
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Projectivization of a bundle is invariant under tensoring with a line bundle

Published on
#algebraic-topology #vector-bundles #projective-space #fiber-bundles #line-bundles
36
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Can pointwise quotients be lifted to a local quotient for a family of vector bundles?

Published on
#algebraic-geometry #vector-bundles
65
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Definition of an $\mathcal{F}$-twist of an algebra

Published on
#algebraic-geometry #definition #lie-groups #lie-algebras #vector-bundles
92
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Calculate the induced covariant derivative on the pullback bundle $\pi^*\mathcal{E}$

Published on
#differential-geometry #vector-bundles #connections
147
Views

Slope-stability and subbundle of a line bundle.

Published on
#algebraic-geometry #vector-bundles
142
Views

Pushforward of a line bundle

Published on
#algebraic-geometry #commutative-algebra #vector-bundles
52
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Stable vector bundles on an algebraic curve

Published on
#algebraic-geometry #curves #vector-bundles #algebraic-curves #algebraic-vector-bundles
218
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Harder Narasimhan polygon

Published on
#algebraic-geometry #vector-bundles #algebraic-curves
145
Views

Extension of a Partial Section of a Fibre Bundle

Published on
#differential-geometry #differential-topology #smooth-manifolds #vector-bundles #smooth-functions
74
Views

Gysin -/ Shriek map of projectivized bundle

Published on
#algebraic-geometry #algebraic-topology #homology-cohomology #vector-bundles #characteristic-classes
93
Views

Confused on Projective Bundle

Published on
#vector-bundles #k-theory
87
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Proof that the module of section of a vector bundle and the module of section of the pullbackbundle are isomorphic.

Published on
#category-theory #modules #vector-bundles

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