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15
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Group structure of the local trivializations of a Lie group principal bundle

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#group-theory #differential-geometry #lie-groups #fiber-bundles #principal-bundles
349
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What is the integral cohomology of $\mathrm{PGL}_n(\mathbb{C})$ as a space?

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#algebraic-topology #homology-cohomology #fiber-bundles #spectral-sequences #linear-groups
300
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Locally nontrivializable bundles

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#general-topology #fiber-bundles
256
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Boundary of disk bundles over surfaces

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#manifolds #differential-topology #geometric-topology #fiber-bundles
1.6k
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Trivial connections on trivial bundles

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#differential-geometry #differential-topology #fiber-bundles #connections #gauge-theory
145
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What is the name of the thing that has the same definition as *section* except continuity?

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#terminology #fiber-bundles
88
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Is there a natural way to bijectively correspond connection on vector bundle and principal connection on its frame bundle?

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#differential-geometry #fiber-bundles #connections
82
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What is the meaning of "fibers over $\Bbb S^1$"?

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#differential-geometry #fiber-bundles
135
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To show the existence of Stiefel-Whitney class by Leray-Hirsch theorem.

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#algebraic-topology #vector-bundles #fiber-bundles
203
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Reference for Fiber bundles with manifolds as fibers.

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#reference-request #manifolds #fiber-bundles
152
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Homotopy Operator on de Rham Čech complex

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#algebraic-topology #homology-cohomology #differential-forms #fiber-bundles
1k
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Is a fibre bundle with contractible fibre a homotopy equivalence?

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#algebraic-topology #homotopy-theory #fiber-bundles
478
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What is the analog of a vector bundle connection for a projective bundle?

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#differential-geometry #algebraic-geometry #projective-geometry #projective-space #fiber-bundles
158
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Inverse of spherical fibration

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#general-topology #algebraic-topology #fiber-bundles #fibration #surgery-theory
427
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Fiber Bundle (Trivial Fibration)

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#fiber-bundles

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