Euler-Poincare characteristic pair of orientable supermanifolds
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915363490365440 |
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| author | Ghorbani, Mehdi Alikhani, Fatemeh Varsaie, Saad |
| author_facet | Ghorbani, Mehdi Alikhani, Fatemeh Varsaie, Saad |
| contents | The Euler-Poincare characteristic, or Euler characteristic in short, is a fundamental topological invariant of compact manifolds that plays a crucial role in a variety of geometric and topological situations. From this point of view, we tried to expand on this important concept in supergeometry. In this article, we introduce the Euler-Poincare characteristic pair in the supergeometry. In the final section, we examine transversality in the category of $Π$-symmetric supermanifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13734 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Euler-Poincare characteristic pair of orientable supermanifolds Ghorbani, Mehdi Alikhani, Fatemeh Varsaie, Saad Differential Geometry 58A50, 58C50 The Euler-Poincare characteristic, or Euler characteristic in short, is a fundamental topological invariant of compact manifolds that plays a crucial role in a variety of geometric and topological situations. From this point of view, we tried to expand on this important concept in supergeometry. In this article, we introduce the Euler-Poincare characteristic pair in the supergeometry. In the final section, we examine transversality in the category of $Π$-symmetric supermanifolds. |
| title | Euler-Poincare characteristic pair of orientable supermanifolds |
| topic | Differential Geometry 58A50, 58C50 |
| url | https://arxiv.org/abs/2505.13734 |