List questions from vector-bundles

Published on 09 May 2020 - 14:42

207

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Complex structure on the tangent space to normal bundle

Published on 11 May 2020 - 18:02

77

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Functoriality of twisted de Rham Cohomology

Published on 26 Mar 2026 - 1:34

155

Views

Under surjective submersion, pushforward of a $k$-form is smooth

Published on 25 Mar 2026 - 19:16

360

Views

Levi-Civita-Connection on $2$-Form

Published on 26 Mar 2026 - 15:16

57

Views

$ \mathrm{ch}(F(A)) = \mathrm{ch}(F(B)) \implies \mathrm{ch}(A) = \mathrm{ch}(B) $ for autoequivalences?

Published on 16 May 2020 - 13:18

570

Views

Construction of a resolution for a coherent sheaf

Published on 17 May 2020 - 17:33

357

Views

Geometric visualization of tangent bundles/sheaves and normal cones/bundles

Published on 19 May 2020 - 12:31

317

Views

A complex vector bundle $E$ is a holomorphic vector bundle iff $(\overline{\partial^E})^2=0$ help with proof?

Published on 25 Mar 2026 - 11:17

110

Views

Check stability of extension bundle

Published on 20 May 2020 - 14:18

71

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Is Atiyah's periodicity Theorem related to splitting principle?

Published on 25 Mar 2026 - 11:03

72

Views

Stokes's Theorem with singularities on projective line

Published on 25 May 2020 - 9:42

258

Views

Complexified bundle $\xi \otimes \mathbb{C}$ is isomorphic to its conjugate $\overline{\xi \otimes \mathbb{C}}$?

Published on 26 May 2020 - 8:16

109

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The subspace $M=\{([x],v)\in E:|v|\leq 1\}$ of the total space of the canonical line bundle over $\Bbb RP^1$ is a Mobius band.

Published on 26 Mar 2026 - 3:13

59

Views

Vector bundles with structure groups $G_2$ and $\operatorname{Spin}(7)$

Published on 26 Mar 2026 - 4:52

List Question

Fibers of a line bundle

Complex structure on the tangent space to normal bundle

Functoriality of twisted de Rham Cohomology

Under surjective submersion, pushforward of a $k$-form is smooth

Levi-Civita-Connection on $2$-Form

$ \mathrm{ch}(F(A)) = \mathrm{ch}(F(B)) \implies \mathrm{ch}(A) = \mathrm{ch}(B) $ for autoequivalences?

Construction of a resolution for a coherent sheaf

Geometric visualization of tangent bundles/sheaves and normal cones/bundles

A complex vector bundle $E$ is a holomorphic vector bundle iff $(\overline{\partial^E})^2=0$ help with proof?

Check stability of extension bundle

Is Atiyah's periodicity Theorem related to splitting principle?

Stokes's Theorem with singularities on projective line

Complexified bundle $\xi \otimes \mathbb{C}$ is isomorphic to its conjugate $\overline{\xi \otimes \mathbb{C}}$?

The subspace $M=\{([x],v)\in E:|v|\leq 1\}$ of the total space of the canonical line bundle over $\Bbb RP^1$ is a Mobius band.

Vector bundles with structure groups $G_2$ and $\operatorname{Spin}(7)$

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