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Metric on matrix-valued forms

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#algebraic-geometry #metric-spaces #complex-geometry #vector-bundles
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Riemann-Roch on vector bundles with divisors

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#algebraic-geometry #algebraic-topology #vector-bundles #riemann-surfaces
547
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Detail in the proof of $\mathbb{R}^n$ is a division algebra only for $n=1,2,4,8$

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#algebraic-topology #vector-bundles #k-theory
447
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Free module as a vector bundle over the spectrum

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#ring-theory #vector-spaces #modules #vector-bundles
204
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Do Smooth Functors map vector spaces of fixed dimension to vector spaces of fixed dimension?

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#differential-geometry #vector-bundles
46
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Morphisms between the graded algebras of forms of vector bundles?

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#differential-geometry #vector-bundles #graded-algebras
109
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Ample Subspace of Sections

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#manifolds #vector-bundles #k-theory
243
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How can I compute simple examples of the associated vector bundle to a coherent sheaf?

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#algebraic-geometry #commutative-algebra #vector-bundles #coherent-sheaves
2.8k
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Why is the Sasaki metric natural?

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#differential-geometry #manifolds #riemannian-geometry #vector-bundles #tangent-bundle
310
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Birkhoff-Grothendieck confusion

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#algebraic-geometry #vector-bundles #divisors-algebraic-geometry
46
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Condition for vector to be independent

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#graph-theory #vector-spaces #vector-bundles #algebraic-graph-theory
1.4k
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Showing that every smooth section of the Mobius strip vanishes somewhere

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#smooth-manifolds #vector-bundles
1.6k
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Calculation of the first Chern class of the canonical line bundle over $\mathbb{CP}^n$

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#algebraic-topology #vector-bundles #characteristic-classes #classifying-spaces
163
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How can I find the rank of this algebraic vector bundle?

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#algebraic-geometry #vector-bundles #algebraic-vector-bundles
302
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Smooth classification of vector bundles

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#differential-topology #smooth-manifolds #vector-bundles #morse-theory

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