Gysin maps and wrong way functoriality via geometric deformation groupoids
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866909014395191296 |
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| author | Rouse, Paulo Carrillo Kohal, Quentin Karegar Baneh |
| author_facet | Rouse, Paulo Carrillo Kohal, Quentin Karegar Baneh |
| contents | In this article we study the normal bundle and the deformation to the normal cone functors to get deformation Lie groupoids that allow us to construct pushforward maps in any suitable (co)homology theory for Lie groupoids (not only K-theory) and in a natural and geometric way. The main theorems being the functoriality for these pushforward maps which recovers, unifies and generalizes many previous cases. The main new example we develop in this paper is the wrong way functoriality for equivariant (twisted) Orbifold K-theory with respect to a groupoid action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03584 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gysin maps and wrong way functoriality via geometric deformation groupoids Rouse, Paulo Carrillo Kohal, Quentin Karegar Baneh K-Theory and Homology Differential Geometry In this article we study the normal bundle and the deformation to the normal cone functors to get deformation Lie groupoids that allow us to construct pushforward maps in any suitable (co)homology theory for Lie groupoids (not only K-theory) and in a natural and geometric way. The main theorems being the functoriality for these pushforward maps which recovers, unifies and generalizes many previous cases. The main new example we develop in this paper is the wrong way functoriality for equivariant (twisted) Orbifold K-theory with respect to a groupoid action. |
| title | Gysin maps and wrong way functoriality via geometric deformation groupoids |
| topic | K-Theory and Homology Differential Geometry |
| url | https://arxiv.org/abs/2605.03584 |