论文标题
字符和通过分类轨迹传输地图
Characters and transfer maps via categorified traces
论文作者
论文摘要
我们在$ \ infty $ - 类别中开发了本地系统的广义特征理论，该理论扩展了群体表示的经典特征理论，尤其是诱导的字符公式。我们方法的一个关键方面是我们利用痕迹及其分类之间的相互作用。我们将此理论应用于贝克 - 戈特利布转移，汤姆光谱的Hochschild同源性以及稳定$ \ infty $类别中痕迹的添加性的各种结果。
We develop a theory of generalized characters of local systems in $\infty$-categories, which extends classical character theory for group representations and, in particular, the induced character formula. A key aspect of our approach is that we utilize the interaction between traces and their categorifications. We apply this theory to reprove and refine various results on the composability of Becker-Gottlieb transfers, the Hochschild homology of Thom spectra, and the additivity of traces in stable $\infty$-categories.
