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15
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Classifying Map $p_{n,m}:BO(n) \times BO(m) \to BO(n+m)$

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#algebraic-topology #vector-bundles
3.9k
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Isomorphism of Vector Bundles

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#general-topology #vector-bundles
108
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Cobordism Groups of Smooth Closed Manifolds

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#algebraic-topology #vector-bundles
409
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Nontrivial Twists of a Vector Bundle

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#number-theory #algebraic-geometry #galois-theory #vector-bundles #galois-cohomology
89
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Cobordant Map from May's Book

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#algebraic-topology #vector-bundles #cobordism
438
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Subbundles of a rank-two trivial bundle on $\mathbb{P}^1$.

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#algebraic-geometry #algebraic-topology #vector-bundles
1.4k
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Non-flat connection on trivial bundle?

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#differential-geometry #vector-bundles #curvature #connections #principal-bundles
175
Views

Existence of $S^1$-action on a vector bundle and computing its characteristic classes

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#algebraic-topology #differential-topology #vector-bundles #group-actions #characteristic-classes
313
Views

Relation between the tangent bundle and the holomorphic tangent bundle of a complex manifold.

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#differential-geometry #complex-geometry #vector-bundles
428
Views

Pullback of tautological bundle on Veronese curve

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#differential-geometry #vector-bundles
195
Views

Equivalent Definitions of Compactly Supported Forms in The Vertical Direction

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#compactness #differential-forms #vector-bundles
229
Views

Question about equivalent definitions of (holomorphic) line bundles

Published on
#complex-geometry #vector-bundles #holomorphic-bundles
75
Views

Divisors and higher cohomologies

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#algebraic-geometry #homology-cohomology #vector-bundles
1.1k
Views

Decompose vector fields on product manifolds

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#differential-geometry #vector-bundles #vector-fields #direct-sum
684
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Sufficient conditions for triviality of pullback vector bundle to imply triviality of original vector bundle

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#differential-geometry #vector-bundles

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