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Non-trivial $P^1$ bundle over complex tori

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#differential-geometry #algebraic-geometry #complex-geometry #fiber-bundles
308
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Is every fibration fiber homotopy equivalent to a fiber bundle?

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#algebraic-topology #homotopy-theory #fiber-bundles #fibration
122
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$S^2$ not a fiber bundle?

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#differential-geometry #manifolds #fiber-bundles
64
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Do we need $M$ simply connected for $H^*(E)=H^*(M)\otimes H^*(F)$ for $E$ a fibre bundle?

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#algebraic-topology #fiber-bundles #spectral-sequences #de-rham-cohomology
259
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What is a trivial $G$-bundle exactly?

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#algebraic-topology #fiber-bundles
88
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Version of Thom isomorphism theorem for fibers with Poincaré duality

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#algebraic-topology #homology-cohomology #fiber-bundles #poincare-duality
104
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Locally trivial fibration induced by a map

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#algebraic-topology #homotopy-theory #fiber-bundles #fibration
53
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Associated fibre bundle to a $(\Gamma,\alpha)$-equivariant $G$-principal bundle

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#reference-request #fiber-bundles #principal-bundles #topological-k-theory #equivariant-topology
123
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Extension of Hopf Fibrations

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#algebraic-topology #geometric-topology #fiber-bundles #octonions #hopf-fibration
92
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Sections of a pullback bundle as a pullback itself

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#differential-geometry #category-theory #manifolds #fiber-bundles
140
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Is the quotient map of an Abelian $G$-space a locally trivial fiber bundle without assuming compactness

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#algebraic-topology #fiber-bundles #fibration
124
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Subbundle of symmetric power of cotangent bundle (indefinite metrics)

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#differential-geometry #manifolds #differential-topology #fiber-bundles #general-relativity
52
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Construct embedding in Euclidean space for arbitrary connection

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#geometry #differential-geometry #riemannian-geometry #differential-forms #fiber-bundles
116
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Sanity check in effective computation of cohomology with local coefficients

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#algebraic-topology #homology-cohomology #fiber-bundles
59
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Regarding the triviality of the canonical line bundle $E(\gamma^1_2)$ for $\mathbb{RP}^2$

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#algebraic-topology #fiber-bundles

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