Atiyah–Singer index theorem[*][[Atiyah–Singer index theorem (theorem that the difference between the dimensions of the kernel and cokernel of a differential operator on a manifold is the integral of a characteristic class)|]] Atiyah–Hitchin–Singer theorem[*][[Atiyah–Hitchin–Singer theorem (the theorem that the space of SU(2) anti self dual Yang–Mills fields on a 4-sphere with index k > 0 has dimension 8k – 3)|]] analytic torsion[*][[analytic torsion (topological invariant of manifolds that can distinguish homotopy-equivalent manifolds; computable as a regularized determinant of the Laplacian for an arbitrary Riemannian metric)|]] Kadison–Singer problem[*][[Kadison–Singer problem (unique extension of pure states in Hilbert spaces)|]]
_(cleaned).jpg)
