List questions from gauge-theory

Published on 20 Mar 2026 - 7:08

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Holonomy group and irreducible $\mathrm{SU}(2)$-connections

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680

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Holonomy group is closed or not?

Published on 22 Mar 2026 - 23:05

755

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Different definitions of irreducible $\mathrm{SU}(2)$ connections

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768

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Yang–Mills theory and mass gap

Published on 22 Mar 2026 - 10:04

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Dimension of the Marsden-Weinstein reduction of a coadjoint orbit in the dual of the Lie algebra of the gauge group (Atiyah-Bott context)

Published on 24 Mar 2026 - 7:13

374

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Connections on Bundles with Trivial Determinant

Published on 23 Mar 2026 - 13:25

57

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Dimension of the space of harmonic $\mathrm{Ad}P$-valued differential 1-forms on a surface

Published on 22 Mar 2026 - 20:50

265

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Vector-valued forms inside the first jet bundle

Published on 22 Mar 2026 - 15:18

213

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Is the determinant of the holonomy gauge invariant / significant?

Published on 22 Mar 2026 - 22:31

122

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Doubt in proof of Uhlenbeck's theorem in Donaldson & Kronheimer

Published on 22 Mar 2026 - 16:05

322

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Elliptic Bootstrapping for Gauge Transformations

Published on 17 Mar 2026 - 15:22

254

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Effect of gauge transformations on connections. Passage in the proof

Published on 17 Mar 2026 - 15:31

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What rigorous mathematical theorems has Edward Witten discovered?

Published on 17 Mar 2026 - 23:37

88

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Is the comparator $U(y,x)$ in Gauge Theory the same as a holonomy?

Published on 23 Mar 2026 - 5:18

List Question

Smooth Principal Bundle from continuous transition functions?

Holonomy group and irreducible $\mathrm{SU}(2)$-connections

Holonomy group is closed or not?

Different definitions of irreducible $\mathrm{SU}(2)$ connections

Yang–Mills theory and mass gap

Dimension of the Marsden-Weinstein reduction of a coadjoint orbit in the dual of the Lie algebra of the gauge group (Atiyah-Bott context)

Connections on Bundles with Trivial Determinant

Dimension of the space of harmonic $\mathrm{Ad}P$-valued differential 1-forms on a surface

Vector-valued forms inside the first jet bundle

Is the determinant of the holonomy gauge invariant / significant?

Doubt in proof of Uhlenbeck's theorem in Donaldson & Kronheimer

Elliptic Bootstrapping for Gauge Transformations

Effect of gauge transformations on connections. Passage in the proof

What rigorous mathematical theorems has Edward Witten discovered?

Is the comparator $U(y,x)$ in Gauge Theory the same as a holonomy?

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