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Spinor Mapping is Surjective

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#matrices #representation-theory #lie-groups #lie-algebras #spin-geometry
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Definition of spinor

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#physics #clifford-algebras #spin-geometry
508
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Reference for spin structure

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#differential-geometry #reference-request #book-recommendation #spin-geometry
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"enlarged" form and Aut(Spin(8))

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#group-theory #representation-theory #lie-groups #lie-algebras #spin-geometry
39
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Compare two definitions of equivariant index of Dirac operator

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#differential-geometry #riemannian-geometry #spin-geometry
113
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Spinors and Klein-Gordon Equation

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#differential-geometry #quantum-mechanics #spin-geometry #special-relativity
39
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Harmonic Spinors with Vanishing Christoffel Symbols

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#riemannian-geometry #spin-geometry
155
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A spinorial generalization of the Hopf map

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#clifford-algebras #spin-geometry #hopf-fibration
80
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Are these two Seiberg-Witten equations the same?

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#riemannian-geometry #complex-manifolds #spin-geometry
106
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Why does the determinant of the Dirac operator on $S^n$ approach $1$ as $n\to\infty$?

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#differential-geometry #partial-differential-equations #spectral-theory #spin-geometry #elliptic-operators
78
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Supergroup for SO groups vs Spin group

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#lie-groups #mathematical-physics #spin-geometry #superalgebra #supergeometry
600
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References for learning real analysis background for understanding the Atiyah--Singer index theorem

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#differential-geometry #partial-differential-equations #reference-request #book-recommendation #spin-geometry
328
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Does only the group $SO(n)$ admit a double cover which is $\operatorname{Spin}(n)$?

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#lie-groups #spin-geometry
114
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Obstruction to a Spin structure on a bundle ξ, and ξ ⊕ $n$ det ξ

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#differential-geometry #differential-topology #fiber-bundles #characteristic-classes #spin-geometry
53
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What do characteristic classes of spinor bundle depend on?

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#differential-geometry #characteristic-classes #spin-geometry

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