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Spin structure

In differential geometry, a spin structure on an orientable Riemannian manifold (M, g) allows one to define associated spinor bundles, giving rise to the notion of a spinor in differential geometry.

Applications, Spin structures on vector bundles & Application to particle physics

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Overview

Spin structures on Riemannian manifolds

Spin structures on vector bundles

Examples

SpinC structures

Application to particle physics

Advanced semantic analysis

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Map overview Semantic statistics

Spin structure

Nodes91
Edges90
Triples137
Avg. degree1.98
Density0.021978
Components1

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Spin structure

Top relations

related to Further reading · 33
Spin structure → Alexandru, American Mathematical Society, BFb0063673, Blaine, Differential Geometrical Methods, Dirac Operators, Equivalence, Friedrich, Greub, Herbert-Rainer, ISBN, K-Theory, Karoubi, Lawson, Lecture Notes, Marie-Louise, Mathematical Physics II, Mathematics, Max, Michelsohn
related to Obstruction and classification · 22
Spin structure → Applying, Armand Borel, Because, But, For, Friedrich Hirzebruch, From, Furthermore, Hom, Hurewicz, If, In, Note, Notice, Now, Serre, SO, Spin, Stiefel, These
related to overview · 16
Spin structure → As, Furthermore, H1, H2, Hi, In, One, Riemannian, Spin, Stiefel, The, The Stiefel, This, TM, Whitney, Z2
related to Examples · 14
Spin structure → All, All Calabi, CP2, CP2n, For, If H2, More, Note, Riemann, S2, Sn, The, Yau, Z2
related to Application to particle physics · 10
Spin structure → An, D-branes, In, It, Lipschitz, SO, Stiefel, The, Therefore, Whitney
related to Obstruction · 9
Spin structure → For, H2, Haefliger, Hence, Riemannian, Stiefel, The, Whitney, Z2
related to Spin structures on vector bundles · 9
Spin structure → In, Let, PSO, PSpin, SO, Spin, The, There, This
related to Properties · 8
Spin structure → Atiyah, Borel, Dirac, Hirzebruch, In, Singer, The, This
related to SpinC structures · 6
Spin structure → Riemannian, Spin, SpinC, The, Thus, To
related to Definition · 4
Spin structure → In, Riemannian, SO, Spin

Important terminology Word statistics

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Important terminology

spin bundle structure manifold displaystyle spinc structures class z2 whitney stiefel second one group w2 h2 oriented obstruction operatorname theory

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Spin structureis acertain element0.90text
Spin structurepart ofthe data needed to define the wavefunction0.85text
Spin structurerelated to Application to particle physicsIn0.60section
Spin structurerelated to Application to particle physicsSO0.60section
Spin structurerelated to Application to particle physicsTherefore0.60section
Spin structurerelated to Application to particle physicsD-branes0.60section
Spin structurerelated to Application to particle physicsAn0.60section
Spin structurerelated to Application to particle physicsStiefel0.60section
Spin structurerelated to Application to particle physicsWhitney0.60section
Spin structurerelated to Application to particle physicsThe0.60section
Spin structurerelated to Application to particle physicsIt0.60section
Spin structurerelated to Application to particle physicsLipschitz0.60section

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    Min side: 3
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