List questions from vector-bundles

Published on 23 Jul 2021 - 13:08

290

Views

Curvature as infinitesimal holonomy via the path-ordered exponential formula

Published on 30 Mar 2026 - 6:29

86

Views

Given a connection on a principal bundle, two definitions of covariant derivatives on an associated vector bundle

Published on 28 Mar 2026 - 3:52

222

Views

Projectivity of analytic $\mathbb{P}^1$ bundles

Published on 07 Apr 2026 - 6:14

184

Views

Proof of Thom Isomorphism from Bott & Tu

Published on 27 Mar 2026 - 22:30

416

Views

Leibniz rule for wedge product of differential forms with values in associated vector bundles

Published on 28 Mar 2026 - 6:00

278

Views

Confusion about Chern connection one form formula

Published on 25 Mar 2026 - 20:34

160

Views

When is normal bundle diffeomorphic to $M\times\mathbb{R}^{n-m}$?

Published on 04 Aug 2021 - 0:47

119

Views

Metric connection on a vector bundle at a point where the Riemannian metric of the base is standard to second order

Published on 30 Mar 2026 - 6:32

180

Views

Sections of symmetric power bundle on Grassmannian

Published on 05 Aug 2021 - 6:46

152

Views

The name of the specific tensor product "$\boxtimes$" of vector bundles over a Cartesian product of manifolds

Published on 01 Apr 2026 - 15:10

114

Views

Relating the Chern classes of vector bundles with structure groups $G_1$, $G_2$, and $G_1\times G_2$

Published on 26 Mar 2026 - 11:18

78

Views

Meromorphic section of a subbundle

Published on 28 Mar 2026 - 8:29

233

Views

Sections of projective bundles over the projective plane

Published on 31 Mar 2026 - 16:16

180

Views

Global section of the line bundle ${\cal O}_{{\Bbb P}_k}(1)$ over ${\Bbb P}_k^1$.

Published on 26 Mar 2026 - 3:12

List Question

Restriction of canonical bundle to smooth subvariety

Curvature as infinitesimal holonomy via the path-ordered exponential formula

Given a connection on a principal bundle, two definitions of covariant derivatives on an associated vector bundle

Projectivity of analytic $\mathbb{P}^1$ bundles

Proof of Thom Isomorphism from Bott & Tu

Leibniz rule for wedge product of differential forms with values in associated vector bundles

Confusion about Chern connection one form formula

When is normal bundle diffeomorphic to $M\times\mathbb{R}^{n-m}$?

Metric connection on a vector bundle at a point where the Riemannian metric of the base is standard to second order

Sections of symmetric power bundle on Grassmannian

The name of the specific tensor product "$\boxtimes$" of vector bundles over a Cartesian product of manifolds

Relating the Chern classes of vector bundles with structure groups $G_1$, $G_2$, and $G_1\times G_2$

Meromorphic section of a subbundle

Sections of projective bundles over the projective plane

Global section of the line bundle ${\cal O}_{{\Bbb P}_k}(1)$ over ${\Bbb P}_k^1$.

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