Differential geometry of weightings
Copyright policy )Differential geometry of weightings
We describe the notion of a \emph{weighting} along a submanifold $N\subset M$, and explore its differential-geometric implications. This includes a detailed discussion of weighted normal bundles, weighted deformation spaces, and weighted blow-ups. We give a description of weightings in terms of subbundles of higher tangent bundles, which leads us to notions of multiplicative weightings for Lie algebroids and Lie groupoids.
38 pages
Poisson manifolds; Poisson groupoids and algebroids, Mathematics - Differential Geometry, Lie filtrations, Differential Geometry (math.DG), Pseudogroups and differentiable groupoids, groupoids, FOS: Mathematics, Normal forms on manifolds, algebroids, graded bundles, multiplicative weightings
Poisson manifolds; Poisson groupoids and algebroids, Mathematics - Differential Geometry, Lie filtrations, Differential Geometry (math.DG), Pseudogroups and differentiable groupoids, groupoids, FOS: Mathematics, Normal forms on manifolds, algebroids, graded bundles, multiplicative weightings
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!