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 $HN^{II}_0(\mathcal{A})$, the negative cyclic homology of the second kind associated to $\mathcal{A}$, when $\mathcal{A}$ satisfies a certain smoothness condition.

中文翻译：

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完美弯曲模块的Chern特性的Chern-Weil公式

假设$ k $是特征0的字段，而$ \ mathcal {A} $是弯曲的$ k $-代数。我们获得一个完美的$ \ mathcal {A} $-模块的Chern特征的Chern–W​​eil型公式，其取值为$ HN ^ {II} _0（\ mathcal {A}）$，即当$ \ mathcal {A} $满足一定的平滑度条件时，与$ \ mathcal {A} $相关的第二种。