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Results tagged with dg.differential-geometry
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user 3927
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
18
votes
Universal definition of tangent spaces (for schemes and manifolds)
OK, here's a uniform definition which I've used when teaching differential geometry, allowing $C^r$ manifolds with corners $M$, with $0 < r \le \infty$. It gives the right notion for $r = \omega$ too, …
- 7,108
9
votes
Accepted
Orientation of a smooth manifold using sheaves
In the study of (finite-dimensional?) paracompact and locally compact (?) spaces there is Verdier's topological duality theorem, expressed in terms of a dualizing complex (which is built up from a she …
- 7,108