List questions from vector-bundles

Published on 08 Jun 2016 - 2:16

296

Views

Extending a section to a basis of sections in a trivial bundle.

Published on 30 Mar 2026 - 14:56

226

Views

Computing Curvature of a Connection (Dirac Monopole)

Published on 28 Mar 2026 - 13:40

331

Views

Roots of canonical line bundles that are not necessarily square roots

Published on 25 Mar 2026 - 22:06

41

Views

On the zero in the fibre of a vector bundle.

Published on 10 Jun 2016 - 15:37

1k

Views

Whitney sum bundle vs. direct product bundle

Published on 11 Jun 2016 - 2:19

114

Views

Bundle isomorphism $\Phi : TM \oplus T^M \to T(T^M)$.

Published on 23 Feb 2026 - 15:23

545

Views

Are there characteristic classes for symplectic vector bundles?

Published on 27 Mar 2026 - 8:41

207

Views

Show that $\Omega^(M)\otimes \Omega^(N)$ is isomorphic to $\Omega^*(M\times N)$

Published on 13 Jun 2016 - 16:30

346

Views

The non-existense of the fine moduli scheme of vector bundles. Why?

Published on 07 Mar 2026 - 10:56

306

Views

Chern classes of a double cover

Published on 27 Mar 2026 - 7:13

91

Views

How to show $Hom(V,V)\rightarrow Hom(V_x,V_x)$ is injective, V being semi-stable

Published on 15 Jun 2016 - 1:34

468

Views

Relation between projective equivalence and linear equivalence of divisors

Published on 26 Mar 2026 - 13:51

472

Views

Cohomologies with line bundle vs. coherent coefficients

Published on 26 Mar 2026 - 9:55

657

Views

Vector subbundle and frame field relation

Published on 16 Jun 2016 - 22:15

List Question

Exact sequences of bundles and orientations

Extending a section to a basis of sections in a trivial bundle.

Computing Curvature of a Connection (Dirac Monopole)

Roots of canonical line bundles that are not necessarily square roots

On the zero in the fibre of a vector bundle.

Whitney sum bundle vs. direct product bundle

Bundle isomorphism $\Phi : TM \oplus T^M \to T(T^M)$.

Are there characteristic classes for symplectic vector bundles?

Show that $\Omega^(M)\otimes \Omega^(N)$ is isomorphic to $\Omega^*(M\times N)$

The non-existense of the fine moduli scheme of vector bundles. Why?

Chern classes of a double cover

How to show $Hom(V,V)\rightarrow Hom(V_x,V_x)$ is injective, V being semi-stable

Relation between projective equivalence and linear equivalence of divisors

Cohomologies with line bundle vs. coherent coefficients

Vector subbundle and frame field relation

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