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Representations and Vector Bundles over the Classifying Space

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#differential-geometry #algebraic-topology #representation-theory #vector-bundles #characteristic-classes
50
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Question concerning covariant derivatives on vector bundles

Published on
#complex-geometry #vector-bundles #connections
320
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Pullback of Thom class by a non-zero section

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#homology-cohomology #vector-bundles #fiber-bundles #characteristic-classes
90
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Does $T\mathbb{C}P^n$ have one-dimensional subbundles?

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#algebraic-topology #vector-bundles
65
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Holomorphic functions on Complex Space

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#vector-bundles #holomorphic-bundles
188
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Motivation for the generalization of the de Rham isomorphism to twisted vector bundles

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#vector-bundles #connections #sheaf-cohomology #de-rham-cohomology
673
Views

Vector bundles can have transition functions on $O(k)$

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#differential-topology #smooth-manifolds #vector-bundles
158
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Fibers and total spaces of vector bundles from sheaf theoretic approach.

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#differential-geometry #algebraic-geometry #sheaf-theory #vector-bundles
1.3k
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$M$ simply connected $\implies$ every line bundle $E\to M$ is trivial

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#differential-topology #smooth-manifolds #vector-bundles
430
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Self-dual connections and Einstein 4-manifolds

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#differential-geometry #vector-bundles
142
Views

Path homotopy and vector bundle isomorphism

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#differential-topology #vector-bundles
638
Views

Vector fields on $S^3$

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#differential-geometry #vector-bundles
57
Views

higher K-theory: suspensions vs Clifford module bundles

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#abstract-algebra #algebraic-topology #vector-bundles #k-theory
528
Views

One rank distribution over a smooth manifold

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#differential-geometry #vector-bundles #vector-fields #tangent-bundle
550
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Riemann metric vs reduction of the structure group

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#riemannian-geometry #vector-bundles

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