Example image of eyePlorer eyePlorer map for 'Chern class': Algebraic topology Characteristic class Differential geometry Mathematics Vector bundle Shiing-Shen Chern Topological property Linear independence Atiyah–Singer index theorem Riemann–Roch theorem Curvature form Characteristic polynomial Connection form Differentiable manifold Exterior derivative Gauge theory Generating function Hermitian manifold Identity matrix Indeterminate (variable) Closed and exact differential forms Up to Cohomology De Rham cohomology Projective space Riemann sphere Holomorphic function Manifold Hairy ball theorem Polar coordinate system Stokes' theorem Integer Topological space Continuous function (topology) Pullback bundle Direct sum of modules Hassler Whitney Alexander Grothendieck Exact sequence Hyperplane Poincaré duality Tautological line bundle Euler class Line bundle Classifying space Grassmannian Homotopy Schubert variety Algebraic geometry Locally free sheaf