论文标题
代数束的阴险的生物
The insidious bicategory of algebra bundles
论文作者
论文摘要
在本文中，我们在平滑的歧管上构造了（超级）代数束的生物，其中1个编织是双模型的束。要点是，双模模束的幼稚定义不会导致这种生物构图中定义明确的组成定律，至少如果不需要不可固化的双模型和非偏见的代数，则不会。到目前为止，文献尚未解决这个问题。我们开发了一个完整的解决方案，还解决了对称单体结构以及相应的可划分性问题。
In this paper we construct a bicategory of (super) algebra bundles over a smooth manifold, where the 1-morphisms are bundles of bimodules. The main point is that naive definitions of bimodule bundles will not lead to a well-defined composition law in such a bicategory, at least not if non-invertible bimodules and non-semisimple algebras are desired. This problem has not been addressed so far in the literature. We develop a complete solution, and also address symmetric monoidal structures as well as the corresponding questions of dualizability.
