The Atiyah class of DG manifolds of amplitude $+1$

Seokbong Seol

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arXiv · 2312.16622

The Atiyah class of DG manifolds of amplitude $+1$

Seokbong Seol

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Abstract

A DG manifold of amplitude $+1$ encodes the derived intersection of a section $s$ and the zero section of a vector bundle $E$. In this paper, we compute the Atiyah class of DG manifolds of amplitude $+1$. In particular, we show that the Atiyah class vanishes if and only if the intersection of $s$ with the zero section is a clean intersection. As an application, we study the Atiyah class of DG manifolds that encodes the derived intersection of two smooth manifolds.

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BibTeX RIS

Seokbong Seol. 2023-12-27. The Atiyah class of DG manifolds of amplitude $+1$. https://arxiv.org/abs/2312.16622

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