Definition of pullback. Ask Question Asked 12 years, 6 months ago Modified 12 years, 6 months ago

The role of the pullback to integration is that it allows us to lift integration defined in Rn up to the manifold (provided we have the partition of unity to weave things together). Essentially the abstract …

Mar 19, 2024 · Then apply sheafification. (Establishing that the sheafification of the presheaf pullback and the sheaf pullback of the sheafification agree requires an argument, but this is an absolutely …

Aug 27, 2024 · Pullback connection definition Ask Question Asked 1 year, 5 months ago Modified 1 year, 5 months ago

Dec 16, 2022 · understanding how to define pullback of differential forms Ask Question Asked 3 years, 1 month ago Modified 3 years, 1 month ago

Aug 8, 2023 · Question about pullback and pushforward of sheaves Ask Question Asked 2 years, 6 months ago Modified 2 years, 6 months ago

Jan 23, 2015 · A bunch of tiny facts come together here - pullback commutes with direct sums, pullback takes the structure sheaf to the structure sheaf, pullback on functions is the original map on sheaves …

The term "metric" is familiar, but not the idea of a pullback on it. I have tried to find intuitive, beginner-friendly explanations of this concept without success. Your attempts would be appreciat...

CAVEAT: we can always pullback differential forms, but only pushforward vectors (and not vector fields, unless $\alpha$ is a diffeomorphism (which is obviously not the case here)). See wikipedia, …

Nov 10, 2024 · Its pullback is simply its restriction to $\mathbb {A}^n$, which is the trivial line bundle. The holomorphic global sections of the former are reduced to the zero section, while the holomorphic …