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Tautological Line Bundle coincides with Invertible Sheaf $\mathcal{O}_{\mathbb{P}_n}(-1)$

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#algebraic-geometry #vector-bundles
36
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weakly equivalent mapping cones

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#differential-geometry #algebraic-topology #vector-bundles
1.4k
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Is the pullback bundle by a diffeomorphism a vector bundle isomorphism?

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#differential-geometry #vector-bundles
35
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homeomorphism between a projective space and a line bundle

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#general-topology #continuity #vector-bundles
100
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property of vector bundles in thom spaces

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#differential-geometry #algebraic-topology #vector-bundles #topological-k-theory
329
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Reference Request: Degree of a holomorphic vector bundle over a compact Riemann Surface

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#differential-geometry #complex-geometry #vector-bundles #riemann-surfaces
97
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An exercise in Atiyah's book K-Theory

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#algebraic-topology #vector-bundles #topological-k-theory
4.3k
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Defition of the Degree of a line bundle

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#differential-geometry #smooth-manifolds #vector-bundles #riemann-surfaces
407
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An affine bundle has a global section?

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#geometry #differential-geometry #manifolds #differential-topology #vector-bundles
1.5k
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Proof details of the fact that the unit tangent bundle is compact in $TM$ if $M$ is a compact manifold

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#differential-geometry #differential-topology #vector-bundles #fiber-bundles #tangent-bundle
72
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understanding $G$-bundles via embedding in $GL_n$

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#algebraic-geometry #reference-request #vector-bundles #algebraic-groups
144
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sections of a vector bundle

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#vector-bundles
52
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Reading request: induced representations & fiber bundles

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#representation-theory #lie-groups #vector-bundles #fiber-bundles #principal-bundles
131
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Changing the fiber in vector bundles

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#differential-geometry #manifolds #differential-topology #vector-bundles #fiber-bundles
125
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Geometric intuition for multiplicity of zero locus of a vector field.

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#differential-topology #vector-bundles #low-dimensional-topology

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