完全曲模的Chern character的Chern-Weil公式
A Chern-Weil formula for the Chern character of a perfect curved module
摘要:
设$k$是特征为0的域,$\mathcal{A}$是曲$k$ -代数.当$\mathcal{A}$满足一定的光滑性条件时,我们得到了取值于$HN_0^{II}(\mathcal{A})$(与$\mathcal{A}$相关的第二类负循环同调)的完备$\mathcal{A}$ -模的Chern特征标的Chern-Weil型公式.
英文摘要:
Let $k$ be a field of characteristic 0 and $\mathcal{A}$ a curved $k$-algebra. We obtain a Chern-Weil-type formula for the Chern character of a perfect $\mathcal{A}$-module taking values in $HN_0^{II}(\mathcal{A})$, the negative cyclic homology of the second kind associated to $\mathcal{A}$, when $\mathcal{A}$ satisfies a certain smoothness condition.
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。