The Atiyah class of DG manifolds of amplitude $+1$
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914119577239552 |
|---|---|
| author | Seol, Seokbong |
| author_facet | Seol, Seokbong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16622 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Atiyah class of DG manifolds of amplitude $+1$ Seol, Seokbong Differential Geometry Mathematical Physics Quantum Algebra 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. |
| title | The Atiyah class of DG manifolds of amplitude $+1$ |
| topic | Differential Geometry Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2312.16622 |