List questions from vector-bundles

Published on 24 Mar 2026 - 23:46

76

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Showing a map $f:E \rightarrow \Bbb R^\infty$ is continuous.

Published on 11 Jan 2019 - 8:05

154

Views

Well-posedness of linear ODE problem on vector bundle

Published on 11 Jan 2019 - 14:03

39

Views

A theorem on fibre bundles, $H^k(E) \cong H^{k+n}(E,E_0)$.

Published on 25 Mar 2026 - 17:45

1k

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Pushforward of a line bundle along a finite morphism of curves

Published on 23 Feb 2026 - 15:09

295

Views

Show that a space of holomorphic sections of a line bundle is isomorphic to the space of meromorphic functions on a Riemann surface.

Published on 25 Mar 2026 - 7:45

61

Views

A "natural homomorphism" $H^n(B; \Bbb Z) \rightarrow H^n(B; \Bbb Z_2)$.

Published on 25 Mar 2026 - 16:03

104

Views

Isomorphism of bundles , Madsen's Calculus to Cohomology

Published on 25 Mar 2026 - 19:06

54

Views

Are there topologically trivial bundles with a nonzero curvature?

Published on 25 Mar 2026 - 16:02

480

Views

Existence of connection on dual bundle

Published on 25 Mar 2026 - 17:19

98

Views

Locally trivial line bundle

Published on 26 Mar 2026 - 5:32

260

Views

Given a differential form $\omega$, is there a differential form $\phi$ such that $\omega\wedge\phi$ is closed?

Published on 23 Feb 2026 - 2:42

107

Views

Operator K-theory and Topological K-theory

Published on 24 Mar 2026 - 22:08

670

Views

Bundle of Endomorphism of Line Bundle always trivial

Published on 25 Mar 2026 - 7:44

946

Views

Why is the $C^\infty(M)$-module of smooth sections of a vector bundle $E$ not free?

Published on 25 Mar 2026 - 6:50

List Question

Can we ignore the ``holomorphic trivialisation'' in the definition of a holomorphic vector bundle?

Showing a map $f:E \rightarrow \Bbb R^\infty$ is continuous.

Well-posedness of linear ODE problem on vector bundle

A theorem on fibre bundles, $H^k(E) \cong H^{k+n}(E,E_0)$.

Pushforward of a line bundle along a finite morphism of curves

Show that a space of holomorphic sections of a line bundle is isomorphic to the space of meromorphic functions on a Riemann surface.

A "natural homomorphism" $H^n(B; \Bbb Z) \rightarrow H^n(B; \Bbb Z_2)$.

Isomorphism of bundles , Madsen's Calculus to Cohomology

Are there topologically trivial bundles with a nonzero curvature?

Existence of connection on dual bundle

Locally trivial line bundle

Given a differential form $\omega$, is there a differential form $\phi$ such that $\omega\wedge\phi$ is closed?

Operator K-theory and Topological K-theory

Bundle of Endomorphism of Line Bundle always trivial

Why is the $C^\infty(M)$-module of smooth sections of a vector bundle $E$ not free?

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