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Varieties with no vector bundles

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#algebraic-geometry #algebraic-topology #vector-bundles
51
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Induced group action on tangent bundle commutes with structure group?

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#algebraic-topology #vector-bundles #descent
81
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What is the identity section of a vector bundle?

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#terminology #vector-bundles
143
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slope and morphism of bundles

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#algebraic-geometry #vector-bundles
164
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Definition of uniqueness of tubular neighbourhoods

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#differential-topology #smooth-manifolds #vector-bundles #geometric-topology
208
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What does it mean when a chern class of a vector bundle is postive(resp. negative)?

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#differential-geometry #complex-geometry #vector-bundles #characteristic-classes
56
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Is there a distribution not expressible as a kernel of a list of 1-forms?

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#differential-geometry #vector-bundles
285
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Does tautological line bundle $\mathcal{O}(-1)$ over complex projective space have zero section?

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#differential-geometry #complex-geometry #vector-bundles #projective-geometry #projective-space
40
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Why are these two definitions of conjugate vector bundle the same?

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#complex-geometry #vector-bundles
430
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About Chern classes of symmetric powers

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#differential-geometry #algebraic-geometry #vector-bundles #characteristic-classes
62
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For an elliptic curve $X$, we have $X \cong \operatorname{Pic}^1(X)$. Why?

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#algebraic-geometry #elliptic-curves #vector-bundles #riemann-surfaces #line-bundles
57
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Classifying space functor: why do different maps $U(n-1) \longrightarrow U(n)$ give maps between $BU$'s that classify different bundles?

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#algebraic-topology #homology-cohomology #homological-algebra #vector-bundles #classifying-spaces
100
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Weil divisors on projective bundles

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#algebraic-geometry #vector-bundles
41
Views

Showing symmetric and antisymmetric tensor series are inverses in $K(M)[[t]]$?

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#differential-geometry #homology-cohomology #vector-bundles #topological-k-theory
94
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Reference request: bundle of holomorphic differentials over Teichmüller space

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#differential-forms #vector-bundles #teichmueller-theory

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