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- Title
- The Atiyah class of DG manifolds of amplitude+1
- KIAS Author
- Seol, Seokbong
- Journal
- JOURNAL OF GEOMETRY AND PHYSICS, 2026
- Archive
-
arXiv:2312.16622
- 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. (c) 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
