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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
19
votes
Accepted
Is each closed convex set a manifold with corners?
Consider the following curve (very informally described):
start from the origin in $\mathbb{R}^2$, then move from one unit up.
Turn of an angle $\pi/4$ on the left and move from half of unit.
Turn o …
8
votes
What are the occurrences of stacks outside algebraic geometry, differential geometry, and ge...
Stacks over the category locales are very interesting for topos theory:
A big success of topos theory is the fact that the $(2,1)$-categories of Grothendieck toposes and geometric morphisms between t …