30

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