不动点不变量的线性
The linearity of fixed point invariants
摘要：
我们证明了两个一般的不动点不变量的分解定理：一个是莱夫谢茨数，一个是Reidemeister迹。这些定理暗示了这些不变量的熟悉的可加性结果。此外，这些定理的证明基本上是形式化的，发生在抽象的背景下的bicategorical痕迹。这使得它可以简单地推广到其他背景下的类似不变量的理论，如等变同伦理论和纤维同伦理论。
英文摘要：
We prove two general decomposition theorems for fixed-point invariants: one for the Lefschetz number and one for the Reidemeister trace. These theorems imply the familiar additivity results for these invariants. Moreover, the proofs of these theorems are essentially formal, taking place in the abstract context of bicategorical traces. This makes it straightforward to generalize the theory to analogous invariants in other contexts, such as equivariant and fiberwise homotopy theory.
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