论文标题
使用量子场理论计算Euler特征
Computing Euler characteristics using quantum field theory
论文作者
论文摘要
本文解释了如何使用量子场理论技术来查找编码$ \ mathrm {out}(f_n)$的虚拟欧拉特征和相关图形复合物的形式功率系列。在作者上一篇论文中进行的$χ(\ mathrm {out}(f_n))$χ(\ Mathrm {out}(f_n))的渐近分析中找到了这样的功率系列。
This paper explains how to use quantum field theory techniques to find formal power series that encode the virtual Euler characteristics of $\mathrm{Out}(F_n)$ and related graph complexes. Finding such power series was a necessary step in the asymptotic analysis of $χ(\mathrm{Out}(F_n))$ carried out in the authors' previous paper.