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Sheaf of sections of vector bundle over a manifold is an $\mathcal O_M$-module

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#sheaf-theory #vector-bundles
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What line bundle pulls back to the trivial line bundle

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#algebraic-geometry #surfaces #vector-bundles
86
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$V$-bundles and vector bundles

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#algebraic-geometry #differential-geometry #reference-request #vector-bundles
224
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Formal adjoint of curvature (Yang Mills)

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#differential-geometry #manifolds #lie-groups #vector-bundles #principal-bundles
270
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Can $S^4$ be the cotangent bundle of a manifold?

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#differential-geometry #differential-topology #vector-bundles
267
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Vector bundles on Hirzebruch surface $\mathbb{F}_2$

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#algebraic-geometry #reference-request #complex-geometry #vector-bundles #monads
180
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Two simple counterexamples in algebraic geometry

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#algebraic-geometry #vector-bundles #intersection-theory
418
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Is paralellizability a topological invariant (Invariant under homemorphism)

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#general-topology #manifolds #vector-bundles #topological-k-theory
215
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Subsheaves of locally free sheaves on a rational curve

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#algebraic-geometry #algebraic-curves #vector-bundles
155
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Mobius over the sphere is the sphere itself

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#general-topology #vector-bundles
111
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Are these "Stiefel-Whitney numbers" invariants of the (smooth)topology of the total space?

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#algebraic-topology #differential-topology #vector-bundles #characteristic-classes
580
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Is there a natural Riemannian structure on the total space of a vector bundle?

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#differential-geometry #riemannian-geometry #vector-bundles
127
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Line bundles on $\mathbb{P}^2 \times \mathbb{P}^2$

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#algebraic-geometry #complex-geometry #vector-bundles #projective-space
1.6k
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Preimage of a submanifold is a submanifold - Transversality

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#differential-geometry #manifolds #differential-topology #vector-bundles
769
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When does a principal divisor have degree 0?

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#algebraic-geometry #sheaf-theory #vector-bundles #schemes #divisors-algebraic-geometry

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