List questions from gauge-theory

Published on 21 Sep 2016 - 13:20

294

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Explain these concepts of String Theory in easy words for mathematicians, from a popular point of view

Published on 25 Mar 2026 - 6:30

397

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Induced Pseudo-Riemannian metric on the bundle of orthonormal frames

Published on 13 Oct 2016 - 18:37

97

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Concrete example of a gauge transformation of a vector potential

Published on 21 Oct 2016 - 18:15

90

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The Maurer-Cartan invariant for the gauge theory in 4D

Published on 15 Jan 2017 - 15:36

138

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Relative Deligne cohomology and its interpretation in terms of gerbes

Published on 05 Feb 2017 - 18:58

764

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Eigenvalues and Gauge Transformations and the role of Boundary Conditions in a gauge transformation

Published on 13 Feb 2017 - 22:59

137

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What is the dimension of $Aut(G)$ where $G$ is a Lie group?

Published on 05 Mar 2017 - 14:06

529

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$A_{N-1}$ Singularities in a K3 Surface?

Published on 25 Mar 2026 - 4:37

156

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Space of G-equivariant maps between principal bundles is contractible

Published on 16 Mar 2017 - 10:18

97

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Pullbacks that annihilate the Maurer-Cartan form

Published on 20 Mar 2017 - 9:12

35

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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 27 Mar 2017 - 2:43

331

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First Chern class $c_1$ of $U(1)$ bundle over $S^2$ v.s. $\pi_1(S^1)=\mathbb{Z}$

Published on 06 Feb 2023 - 0:05

195

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Second Chern class $c_2$ of $SU(n)$ bundle over $S^4$ v.s. $\pi_3(SU(n))=\mathbb{Z}$

Published on 06 Feb 2023 - 1:39

152

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Deriving Contracted Bianchi Identity from Einstein-Hilbert Action

Published on 08 Feb 2023 - 20:05

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Curvature and adjoint bundle

Explain these concepts of String Theory in easy words for mathematicians, from a popular point of view

Induced Pseudo-Riemannian metric on the bundle of orthonormal frames

Concrete example of a gauge transformation of a vector potential

The Maurer-Cartan invariant for the gauge theory in 4D

Relative Deligne cohomology and its interpretation in terms of gerbes

Eigenvalues and Gauge Transformations and the role of Boundary Conditions in a gauge transformation

What is the dimension of $Aut(G)$ where $G$ is a Lie group?

$A_{N-1}$ Singularities in a K3 Surface?

Space of G-equivariant maps between principal bundles is contractible

Pullbacks that annihilate the Maurer-Cartan form

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

First Chern class $c_1$ of $U(1)$ bundle over $S^2$ v.s. $\pi_1(S^1)=\mathbb{Z}$

Second Chern class $c_2$ of $SU(n)$ bundle over $S^4$ v.s. $\pi_3(SU(n))=\mathbb{Z}$

Deriving Contracted Bianchi Identity from Einstein-Hilbert Action

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