List questions from principal-bundles

Published on 15 Dec 2016 - 6:10

136

Views

Principal G-bundle associated to a fiber bundle

Published on 23 Dec 2016 - 21:54

102

Views

Is there a section of the embedding $U(1) \to U(n)$ in the category of Lie-groups?

Published on 30 Dec 2016 - 17:00

241

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Vanishing of certain cohomology class and existence of spin structure

Published on 25 Mar 2026 - 11:14

271

Views

Relationship between Ehresmann connections and path-groupoid connections

Published on 09 Jan 2017 - 10:03

66

Views

Curves have $r$-th order contact iff their horizontal lifts have $r$-th order contact

Published on 11 Jan 2017 - 9:49

372

Views

Definitions/Use of Principal Bundles

Published on 13 Jan 2017 - 10:05

45

Views

Constructing a principal $G$-bundle

Published on 21 Jan 2017 - 0:38

101

Views

Vector bundle obtained by a maximal compact subgroup

Published on 22 Jan 2017 - 21:23

282

Views

Do the Chern classes of a principal bundle depend on an embedding $G\hookrightarrow U(n)$?

Published on 24 Jan 2017 - 10:51

74

Views

Continuity of translation function in fibers

Published on 27 Jan 2017 - 22:32

54

Views

Principal $GL(d,\mathbb R)$-bundle $(LM,\pi,M)$ and bundle isomorphism

Published on 11 Feb 2017 - 7:27

101

Views

Local triviality of non-smooth finite-dimensional compact principal bundles

Published on 15 Feb 2017 - 23:25

82

Views

Why is $D\omega(R_gX,R_gY)=ad g^{-1}D\omega(X,Y)$?

Published on 19 Feb 2017 - 0:17

918

Views

Principal Bundle and Cocycle

Published on 20 Feb 2017 - 19:01

List Question

Loops with trivial holonomy for non-flat connections.

Principal G-bundle associated to a fiber bundle

Is there a section of the embedding $U(1) \to U(n)$ in the category of Lie-groups?

Vanishing of certain cohomology class and existence of spin structure

Relationship between Ehresmann connections and path-groupoid connections

Curves have $r$-th order contact iff their horizontal lifts have $r$-th order contact

Definitions/Use of Principal Bundles

Constructing a principal $G$-bundle

Vector bundle obtained by a maximal compact subgroup

Do the Chern classes of a principal bundle depend on an embedding $G\hookrightarrow U(n)$?

Continuity of translation function in fibers

Principal $GL(d,\mathbb R)$-bundle $(LM,\pi,M)$ and bundle isomorphism

Local triviality of non-smooth finite-dimensional compact principal bundles

Why is $D\omega(R_gX,R_gY)=ad g^{-1}D\omega(X,Y)$?

Principal Bundle and Cocycle

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