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15
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Smooth Principal Bundle from continuous transition functions?

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#differential-geometry #smooth-manifolds #principal-bundles #gauge-theory
458
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Holonomy group and irreducible $\mathrm{SU}(2)$-connections

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#differential-geometry #connections #principal-bundles #gauge-theory #holonomy
692
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Holonomy group is closed or not?

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#differential-geometry #gauge-theory
762
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Different definitions of irreducible $\mathrm{SU}(2)$ connections

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#differential-geometry #connections #principal-bundles #gauge-theory
780
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Yang–Mills theory and mass gap

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#reference-request #mathematical-physics #quantum-field-theory #gauge-theory
181
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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)

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#differential-geometry #symplectic-geometry #gauge-theory
382
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Connections on Bundles with Trivial Determinant

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#differential-geometry #complex-geometry #connections #gauge-theory
67
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Dimension of the space of harmonic $\mathrm{Ad}P$-valued differential 1-forms on a surface

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#differential-geometry #gauge-theory
276
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Vector-valued forms inside the first jet bundle

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#differential-geometry #gauge-theory #global-analysis
221
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Is the determinant of the holonomy gauge invariant / significant?

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#differential-geometry #connections #gauge-theory #holonomy
133
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Doubt in proof of Uhlenbeck's theorem in Donaldson & Kronheimer

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#differential-geometry #sobolev-spaces #gauge-theory
331
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Elliptic Bootstrapping for Gauge Transformations

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#differential-geometry #partial-differential-equations #gauge-theory
261
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Effect of gauge transformations on connections. Passage in the proof

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#differential-geometry #gauge-theory
1.7k
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What rigorous mathematical theorems has Edward Witten discovered?

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#mathematical-physics #quantum-field-theory #gauge-theory #topological-quantum-field-theory
96
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Is the comparator $U(y,x)$ in Gauge Theory the same as a holonomy?

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#notation #fiber-bundles #quantum-field-theory #gauge-theory #holonomy

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