Differential Geometry of Weightings

Yiannis Loizides; Eckhard Meinrenken

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arXiv · 2010.01643

Differential Geometry of Weightings

Yiannis Loizides·Eckhard Meinrenken

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Abstract

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.

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Yiannis Loizides, Eckhard Meinrenken. 2020-10-04. Differential Geometry of Weightings. https://arxiv.org/abs/2010.01643

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