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arXiv · 2510.25308

Atiyah class of DG manifolds of positive amplitude

Seokbong Seol
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Abstract

We prove that the Atiyah and Todd classes of differential graded (DG) manifolds of positive amplitude are invariant under the weak equivalences in the sense of Behrend--Liao--Xu. As an application, we show that Hochschild cohomology of the second kind of DG manifolds of positive amplitude is also invariant under weak equivalences as well.

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Seokbong Seol. 2026-09-20. Atiyah class of DG manifolds of positive amplitude. https://arxiv.org/abs/2510.25308

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