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Atiyah and Todd classes arising from integrable distributions. (arXiv:1711.11253v1 [math.DG])
来源于:arXiv
In this note, we study the Atiyah class and Todd class of the DG manifolds
$(F[1],d_F)$ coming from an integrable distribution $F \subset T_{\mathbb{K}}
M$, where $T_{\mathbb{K}} M = TM$ when $\mathbb{K} = \mathbb{R}$ and
$T_{\mathbb{K}} M = TM \otimes_{\mathbb{R}} \mathbb{C}$ when $\mathbb{K} =
\mathbb{C}$. We show that these two classes are canonically identical to those
of the Lie pair $(T_\mathbb{K} M, F)$. 查看全文>>