30 Answers votes newest views recent 18Proofs that require fundamentally new ways of thinking 3What is torsion in differential geometry intuitively? 4What do heat kernels have to do with the Riemann-Roch theorem and the Gauss-Bonnet theorem? 10How much of differential geometry can be developed entirely without atlases? 2Motivating the de Rham theorem 3Why is cotangent more canonical than tangent? 6PDE on manifolds 0Difference between measures and distributions 1What does “kernel” mean in integral kernel? 12Stokes theorem for manifolds with corners? 3Understanding moment maps and lie brackets 3Are infinite dimensional constructions needed to prove finite dimensional results? (2) 1Clifford Algebra in Dirac Equation 6existence of Morse functions satisfying the Palais-Smale condition 2How to see the Phase Space of a Physical System as the Cotangent Bundle 2Gauge connections and Lie algebras? 3Is there a good (co)homology theory for manifolds with corners? 2What’s algebraic approach to QM good for? 1Can the adjoint of the exterior derivative in semi-Riemannian geometry be defined without the Hodge * operator? 0Are the strata of Nakajima quiver varieties simply-connected? Do they have odd cohomology? 6Is there a Morse theory for sections of bundles or more generally for maps? -2Yang Mills gradient/heat flow on 4-torus 1Differential of a Sobolev map between manifolds 2Dimension of moduli space in Lagrangian Floer homology 1the slice theorem in the symplectic manifold 2Singular, holonomy-free connections on Riemannian surfaces? 2Elliptic pseudodifferential operator estimate 0norm of n-th covariant derivative of smooth function 0Is the metric obtained by altering the metric of a Hilbert space on a finite-dimensional subspace equivalent to the original one? 3Eqivalency of two norms on the symmetric two tensor-fields on a compact Riemannian manifold.