List questions from vector-bundles

Published on 21 Jan 2022 - 15:20

58

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Does an almost complex structure $J$ induce a differential operator on $TM$?

Published on 08 Apr 2026 - 2:35

60

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Is the deleted total space of a vector bundle over a paracompact space paracompact?

Published on 23 Feb 2026 - 8:24

37

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Is $\Gamma(E\boxtimes F) \cong \Gamma(\pi_M^E)\otimes_{C^\infty(M\times M)}\Gamma(\pi_N^F)$?

Published on 22 Jan 2022 - 15:59

50

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Good exercices to understand vector, principal and associated bundles

Published on 28 Mar 2026 - 7:43

37

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Pullback of a line bundle on a stack amounts to a rational character

Published on 24 Feb 2026 - 7:36

420

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Zero locus of a general section

Published on 27 Mar 2026 - 21:34

58

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Are there nontrivial nonsingular complete PID algebraic curves?

Published on 25 Jan 2022 - 12:58

160

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Affine Grassmannian and the tautological bundle

Published on 02 Apr 2026 - 17:12

82

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Computing the curvature of $\mathcal{O}(-1)$ from its pull back to $\mathbb{C}^{n+1}\setminus \{0\}$

Published on 27 Mar 2026 - 21:04

229

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Equivalence between two definitions of Complex Tangent Space

Published on 26 Mar 2026 - 4:30

47

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Representative of the Todd class

Published on 26 Mar 2026 - 2:53

109

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Bundle Morphisms and 1-forms

Published on 26 Mar 2026 - 12:32

51

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If $\pi: E \rightarrow M$ is a vector bundle, what does it mean that $E^X$ is equal to $M$ such that $E^X \subset E$?

Published on 04 Feb 2022 - 21:40

153

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Triviality of complexified tangent bundle

Published on 26 Mar 2026 - 12:34

List Question

On the transition functions in vector bundles

Does an almost complex structure $J$ induce a differential operator on $TM$?

Is the deleted total space of a vector bundle over a paracompact space paracompact?

Is $\Gamma(E\boxtimes F) \cong \Gamma(\pi_M^E)\otimes_{C^\infty(M\times M)}\Gamma(\pi_N^F)$?

Good exercices to understand vector, principal and associated bundles

Pullback of a line bundle on a stack amounts to a rational character

Zero locus of a general section

Are there nontrivial nonsingular complete PID algebraic curves?

Affine Grassmannian and the tautological bundle

Computing the curvature of $\mathcal{O}(-1)$ from its pull back to $\mathbb{C}^{n+1}\setminus \{0\}$

Equivalence between two definitions of Complex Tangent Space

Representative of the Todd class

Bundle Morphisms and 1-forms

If $\pi: E \rightarrow M$ is a vector bundle, what does it mean that $E^X$ is equal to $M$ such that $E^X \subset E$?

Triviality of complexified tangent bundle

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