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"Bundle of metrics" on a principal bundle?

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#differential-geometry #riemannian-geometry #riemann-surfaces #fiber-bundles #principal-bundles
156
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Are 4-dimensional mapping tori always spin?

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#algebraic-topology #fiber-bundles
1.5k
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example diagram of pullbacks and fiber products

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#category-theory #products #fiber-bundles
216
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extending maps from spaces to their whitehead towers

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#algebraic-topology #homotopy-theory #fiber-bundles #principal-bundles #fibration
173
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lifting injective maps to injective maps in principal bundles

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#algebraic-topology #covering-spaces #fiber-bundles
1.6k
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Relations of Characteristic classes: Chern, Stiefel-Whitney, Pontryagin, Euler, Wu class.

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#algebraic-geometry #differential-geometry #algebraic-topology #fiber-bundles #characteristic-classes
566
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Cosets for lie groups

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#abstract-algebra #group-theory #lie-groups #topological-groups #fiber-bundles
58
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Induced measurable subbundle

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#measure-theory #manifolds #vector-bundles #fiber-bundles #grassmannian
111
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Equivalence between pullback connections of smoothly homotopic maps

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#differential-geometry #fiber-bundles #principal-bundles #gauge-theory
2.1k
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Principal G bundles v.s. Flat G connection

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#differential-geometry #differential-topology #fiber-bundles #principal-bundles #gauge-theory
1.2k
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Characteristic classes for quaternionic bundles

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#algebraic-topology #vector-bundles #fiber-bundles
1.2k
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Why is the constant relating the chern class and curvature form always $2\pi i$?

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#differential-geometry #fiber-bundles #characteristic-classes
414
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Relation between principal bundle automorphisms and maps in $\Lambda^0(M,Ad(P))$

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#differential-geometry #fiber-bundles #principal-bundles
82
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Understanding a statement related to a circle action on a principal bundle found in a paper

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#differential-geometry #fiber-bundles #principal-bundles
170
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Linear clutching function properties

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#vector-bundles #fiber-bundles #topological-k-theory

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