局部有限同调中$\mathrm{GL}_n(\mathbb{Z})$的轮类，规范积分与ζ值
The wheel classes in the locally finite homology of $\mathrm{GL}_n(\mathbb{Z})$, canonical integrals and zeta values
AI总结：
本文研究了轮类在局部有限同调和热带几何中的表现，证明了规范积分与奇ζ值的比例关系，并揭示了其在不同数学结构中的非零类存在。
摘要：
我们计算了与轮图相关的规范积分，并证明它们与奇ζ值成比例。由此我们得出轮类在一般线性群$\GL_n(\ZZ)$的局部有限同调、热带曲线模空间的同调以及热带阿贝尔簇模空间中定义了非零类。我们还推导了偶数交换图复形中存在一个双无穷辅助类的 existence。
英文摘要：
We compute the canonical integrals associated to wheel graphs, and prove that they are proportional to odd zeta values. From this we deduce that wheel classes define explicit non-zero classes in: the locally finite homology of the general linear group $\GL_n(\ZZ)$ in both odd and even ranks, the homology of the moduli spaces of tropical curves, and the moduli space of tropical abelian varieties. We deduce the existence of a doubly infinite family of auxiliary classes in the even commutative graph complex.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
