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Relationship between $\Omega^k(\Phi_0^*(B))$ and $\Omega^k(B)$?

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#differential-geometry #vector-bundles
238
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Did Koszul introduce Koszul connections?

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#differential-geometry #reference-request #math-history #vector-bundles #connections
41
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Hatcher's KTVB - Proposed Isomorphism

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#algebraic-topology #vector-bundles #topological-k-theory
147
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Complex structure on $TM$ is almost complex structure on $M$

Published on
#differential-geometry #complex-geometry #vector-bundles
81
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Tautological bundle of $\mathbb{P}^1(\mathbb{C})$

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#complex-geometry #vector-bundles #line-bundles
172
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Exact sequence of holomorphic vector bundles

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#vector-bundles #exact-sequence
1k
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Finding the local trivilization of canonical line bundle

Published on
#algebraic-geometry #complex-geometry #vector-bundles
419
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Sections of holomorphic vector bundles

Published on
#complex-geometry #vector-bundles #holomorphic-bundles
272
Views

Relationship between Ehresmann connections and path-groupoid connections

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#differential-geometry #vector-bundles #fiber-bundles #connections #principal-bundles
86
Views

Short sequences of vector bundles induce long exact sequence in sheaf cohomology

Published on
#complex-geometry #sheaf-theory #vector-bundles #sheaf-cohomology
222
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Paracompactness of the projectified bundle over a paracompact space

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#general-topology #vector-bundles #paracompactness
975
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The set of sectios of a vector bundle is a module

Published on
#modules #vector-bundles
292
Views

How is a connection defined in a vector bundle?

Published on
#smooth-manifolds #vector-bundles #connections
170
Views

Understanding the way of calculating the Nijenhuis tensor on $S^6$

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#differential-geometry #algebraic-topology #smooth-manifolds #complex-geometry #vector-bundles
256
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Normal bundle and differential of the inclusion map

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#algebraic-geometry #vector-bundles #tangent-bundle

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