Example image of eyePlorer eyePlorer map for 'Spin structure': Differentiable manifold Geometry Vector bundle Spinor Spinor bundle Mathematical physics Quantum field theory Algebraic topology Differential geometry K-theory Metric (vector bundle) Paracompact space Topological manifold Inner product space Spin representation Principal bundle Frame bundle Orthogonal group Orthonormal frame Spin group Tangent bundle Orthonormal basis CW complex Triangulation (topology) Stiefel–Whitney class Armand Borel Friedrich Hirzebruch Universal coefficient theorem Boundary value problem Fermion N-skeleton Obstruction theory Particle physics Associated bundle Partition function Spin-statistics theorem Wave function D-brane Normal bundle String theory Genus (mathematics) Riemann surface Theta characteristic Projective space Calabi–Yau manifold Genus of a multiplicative sequence Atiyah–Singer index theorem Dirac operator Chern class Edward Witten