List questions from principal-bundles

Published on 24 Feb 2017 - 0:15

125

Views

Reversing a Spin^c structure

Published on 25 Feb 2017 - 15:27

135

Views

A question concerning classification of line bundles

Published on 02 Mar 2017 - 15:54

138

Views

Why do faithful group actions yield faithful isotropy representations?

Published on 25 Mar 2026 - 12:53

270

Views

Finiteness of the kernel of pullback map on cohomology

Published on 11 Mar 2017 - 18:55

157

Views

Space of G-equivariant maps between principal bundles is contractible

Published on 25 Mar 2026 - 14:26

108

Views

Isomorphism between $\Omega_{hor}^{k}\left(P\right)$ and $\Omega^{k}\left(M\right)$

Published on 18 Mar 2017 - 16:10

36

Views

Showing that $\psi^{-1}_{(x_o,g_o)}(v_1,v_2) = (\sigma_{g_o})_{s(x_o)}(s_{*x_o}(v_1)) + A^\#(s(x_o).g_o)$

Published on 25 Mar 2026 - 12:49

820

Views

Classification of principal $G$-bundles over closed oriented surfaces with $G$ connected.

Published on 27 Mar 2017 - 3:02

154

Views

The definition of the connection on the principle bundle

Published on 04 Apr 2017 - 19:43

33

Views

DeRham complex for $ad(P)$-valued forms

Published on 25 Mar 2026 - 14:39

61

Views

Gauge group as a Lie group

Published on 16 Feb 2023 - 8:07

116

Views

Can the spin connection be defined entirely from a structure group reduction?

Published on 16 Feb 2023 - 14:23

121

Views

Path integral of the connection $1$-form of the Hopf bundle

Published on 25 Mar 2026 - 11:06

114

Views

Principal bundle (or torsor) for a diagonalizable group over a torus

Published on 25 Mar 2026 - 3:19

List Question

Connections and principial bundles

Reversing a Spin^c structure

A question concerning classification of line bundles

Why do faithful group actions yield faithful isotropy representations?

Finiteness of the kernel of pullback map on cohomology

Space of G-equivariant maps between principal bundles is contractible

Isomorphism between $\Omega_{hor}^{k}\left(P\right)$ and $\Omega^{k}\left(M\right)$

Showing that $\psi^{-1}_{(x_o,g_o)}(v_1,v_2) = (\sigma_{g_o})_{s(x_o)}(s_{*x_o}(v_1)) + A^\#(s(x_o).g_o)$

Classification of principal $G$-bundles over closed oriented surfaces with $G$ connected.

The definition of the connection on the principle bundle

DeRham complex for $ad(P)$-valued forms

Gauge group as a Lie group

Can the spin connection be defined entirely from a structure group reduction?

Path integral of the connection $1$-form of the Hopf bundle

Principal bundle (or torsor) for a diagonalizable group over a torus

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