论文标题
权重的差异几何形状
Differential Geometry of Weightings
论文作者
论文摘要
我们描述了沿submanifold $ n \ subset m $的\ emph {加权}的概念，并探索其微分几何含义。这包括对加权正常束，加权变形空间和加权爆破的详细讨论。我们用较高的切线束的子捆绑来描述权重，这使我们对谎言代数和lie clopoids的多重权重概念进行了描述。
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.
